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Finding the Fourth Proportional to 1,046.16, 1,569.42 and 397.35

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Solution

The fourth proportional to 1,046.16, 1,569.42 and 397.35 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.16 : 1,569.42 = 397.35 : x
  2. Step 2: Convert to fraction form
    1,046.16/1,569.42 = 397.35/x
  3. Step 3: Cross multiply
    1,046.16x = 1,569.42 × 397.35
  4. Step 4: Simplify right side
    1,046.16x = 623,609.04
  5. Step 5: Solve for x
    x = 623,609.04/1,046.16
  6. Step 6: Final answer
    x = 596.09

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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.