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Finding the Fourth Proportional to 1,046.34, 1,569.96 and 397.17

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Solution

The fourth proportional to 1,046.34, 1,569.96 and 397.17 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.34 : 1,569.96 = 397.17 : x
  2. Step 2: Convert to fraction form
    1,046.34/1,569.96 = 397.17/x
  3. Step 3: Cross multiply
    1,046.34x = 1,569.96 × 397.17
  4. Step 4: Simplify right side
    1,046.34x = 623,541.01
  5. Step 5: Solve for x
    x = 623,541.01/1,046.34
  6. Step 6: Final answer
    x = 595.93

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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.