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Finding the Fourth Proportional to 706.80, 1,059.32 and 417.52

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Solution

The fourth proportional to 706.80, 1,059.32 and 417.52 is: 625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 1,059.32 = 417.52 : x
  2. Step 2: Convert to fraction form
    706.80/1,059.32 = 417.52/x
  3. Step 3: Cross multiply
    706.80x = 1,059.32 × 417.52
  4. Step 4: Simplify right side
    706.80x = 442,287.29
  5. Step 5: Solve for x
    x = 442,287.29/706.80
  6. Step 6: Final answer
    x = 625.76

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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.