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Finding the Fourth Proportional to 1,337.38, 2,006.47 and 471.69

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Solution

The fourth proportional to 1,337.38, 2,006.47 and 471.69 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.38 : 2,006.47 = 471.69 : x
  2. Step 2: Convert to fraction form
    1,337.38/2,006.47 = 471.69/x
  3. Step 3: Cross multiply
    1,337.38x = 2,006.47 × 471.69
  4. Step 4: Simplify right side
    1,337.38x = 946,431.83
  5. Step 5: Solve for x
    x = 946,431.83/1,337.38
  6. Step 6: Final answer
    x = 707.68

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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.