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Finding the Fourth Proportional to 710.56, 1,065.81 and 501.47

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Solution

The fourth proportional to 710.56, 1,065.81 and 501.47 is: 752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 1,065.81 = 501.47 : x
  2. Step 2: Convert to fraction form
    710.56/1,065.81 = 501.47/x
  3. Step 3: Cross multiply
    710.56x = 1,065.81 × 501.47
  4. Step 4: Simplify right side
    710.56x = 534,466.41
  5. Step 5: Solve for x
    x = 534,466.41/710.56
  6. Step 6: Final answer
    x = 752.18

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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.