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Finding the Fourth Proportional to 1,046.92, 1,569.90 and 469.78

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Solution

The fourth proportional to 1,046.92, 1,569.90 and 469.78 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.92 : 1,569.90 = 469.78 : x
  2. Step 2: Convert to fraction form
    1,046.92/1,569.90 = 469.78/x
  3. Step 3: Cross multiply
    1,046.92x = 1,569.90 × 469.78
  4. Step 4: Simplify right side
    1,046.92x = 737,507.62
  5. Step 5: Solve for x
    x = 737,507.62/1,046.92
  6. Step 6: Final answer
    x = 704.45

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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.