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Finding the Fourth Proportional to 716.36, 1,074.56 and 471.13

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Solution

The fourth proportional to 716.36, 1,074.56 and 471.13 is: 706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.36 : 1,074.56 = 471.13 : x
  2. Step 2: Convert to fraction form
    716.36/1,074.56 = 471.13/x
  3. Step 3: Cross multiply
    716.36x = 1,074.56 × 471.13
  4. Step 4: Simplify right side
    716.36x = 506,252.41
  5. Step 5: Solve for x
    x = 506,252.41/716.36
  6. Step 6: Final answer
    x = 706.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.