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Finding the Fourth Proportional to 1,396.04, 1,926.48 and 806.76

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Solution

The fourth proportional to 1,396.04, 1,926.48 and 806.76 is: 1,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.04 : 1,926.48 = 806.76 : x
  2. Step 2: Convert to fraction form
    1,396.04/1,926.48 = 806.76/x
  3. Step 3: Cross multiply
    1,396.04x = 1,926.48 × 806.76
  4. Step 4: Simplify right side
    1,396.04x = 1,554,207.00
  5. Step 5: Solve for x
    x = 1,554,207.00/1,396.04
  6. Step 6: Final answer
    x = 1,113.30

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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.