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Finding the Fourth Proportional to 781.73, 1,170.26 and 472.65

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Solution

The fourth proportional to 781.73, 1,170.26 and 472.65 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.73 : 1,170.26 = 472.65 : x
  2. Step 2: Convert to fraction form
    781.73/1,170.26 = 472.65/x
  3. Step 3: Cross multiply
    781.73x = 1,170.26 × 472.65
  4. Step 4: Simplify right side
    781.73x = 553,127.65
  5. Step 5: Solve for x
    x = 553,127.65/781.73
  6. Step 6: Final answer
    x = 707.56

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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.