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Finding the Fourth Proportional to 710.31, 1,065.47 and 479.19

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Solution

The fourth proportional to 710.31, 1,065.47 and 479.19 is: 718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.31 : 1,065.47 = 479.19 : x
  2. Step 2: Convert to fraction form
    710.31/1,065.47 = 479.19/x
  3. Step 3: Cross multiply
    710.31x = 1,065.47 × 479.19
  4. Step 4: Simplify right side
    710.31x = 510,560.17
  5. Step 5: Solve for x
    x = 510,560.17/710.31
  6. Step 6: Final answer
    x = 718.79

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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.