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Finding the Fourth Proportional to 654.38, 980.66 and 470.92

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Solution

The fourth proportional to 654.38, 980.66 and 470.92 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.38 : 980.66 = 470.92 : x
  2. Step 2: Convert to fraction form
    654.38/980.66 = 470.92/x
  3. Step 3: Cross multiply
    654.38x = 980.66 × 470.92
  4. Step 4: Simplify right side
    654.38x = 461,812.41
  5. Step 5: Solve for x
    x = 461,812.41/654.38
  6. Step 6: Final answer
    x = 705.73

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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.