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Finding the Fourth Proportional to 707.29, 1,059.10 and 488.59

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Solution

The fourth proportional to 707.29, 1,059.10 and 488.59 is: 731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.29 : 1,059.10 = 488.59 : x
  2. Step 2: Convert to fraction form
    707.29/1,059.10 = 488.59/x
  3. Step 3: Cross multiply
    707.29x = 1,059.10 × 488.59
  4. Step 4: Simplify right side
    707.29x = 517,465.67
  5. Step 5: Solve for x
    x = 517,465.67/707.29
  6. Step 6: Final answer
    x = 731.62

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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.