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Finding the Fourth Proportional to 932.29, 1,398.45 and 470.65

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Solution

The fourth proportional to 932.29, 1,398.45 and 470.65 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.29 : 1,398.45 = 470.65 : x
  2. Step 2: Convert to fraction form
    932.29/1,398.45 = 470.65/x
  3. Step 3: Cross multiply
    932.29x = 1,398.45 × 470.65
  4. Step 4: Simplify right side
    932.29x = 658,180.49
  5. Step 5: Solve for x
    x = 658,180.49/932.29
  6. Step 6: Final answer
    x = 705.98

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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.