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Finding the Fourth Proportional to 1,275.69, 1,760.34 and 716.19

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Solution

The fourth proportional to 1,275.69, 1,760.34 and 716.19 is: 988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.69 : 1,760.34 = 716.19 : x
  2. Step 2: Convert to fraction form
    1,275.69/1,760.34 = 716.19/x
  3. Step 3: Cross multiply
    1,275.69x = 1,760.34 × 716.19
  4. Step 4: Simplify right side
    1,275.69x = 1,260,737.90
  5. Step 5: Solve for x
    x = 1,260,737.90/1,275.69
  6. Step 6: Final answer
    x = 988.28

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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.