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Finding the Fourth Proportional to 1,046.25, 1,569.38 and 397.24

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Solution

The fourth proportional to 1,046.25, 1,569.38 and 397.24 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.25 : 1,569.38 = 397.24 : x
  2. Step 2: Convert to fraction form
    1,046.25/1,569.38 = 397.24/x
  3. Step 3: Cross multiply
    1,046.25x = 1,569.38 × 397.24
  4. Step 4: Simplify right side
    1,046.25x = 623,414.60
  5. Step 5: Solve for x
    x = 623,414.60/1,046.25
  6. Step 6: Final answer
    x = 595.86

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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.