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Finding the Fourth Proportional to 1,310.77, 1,808.90 and 721.34

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Solution

The fourth proportional to 1,310.77, 1,808.90 and 721.34 is: 995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.77 : 1,808.90 = 721.34 : x
  2. Step 2: Convert to fraction form
    1,310.77/1,808.90 = 721.34/x
  3. Step 3: Cross multiply
    1,310.77x = 1,808.90 × 721.34
  4. Step 4: Simplify right side
    1,310.77x = 1,304,832.84
  5. Step 5: Solve for x
    x = 1,304,832.84/1,310.77
  6. Step 6: Final answer
    x = 995.47

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Find fourth proportional to 655.38, 904.45 and 360.67
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.