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Finding the Fourth Proportional to 1,046.64, 1,569.42 and 397.02

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Solution

The fourth proportional to 1,046.64, 1,569.42 and 397.02 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.64 : 1,569.42 = 397.02 : x
  2. Step 2: Convert to fraction form
    1,046.64/1,569.42 = 397.02/x
  3. Step 3: Cross multiply
    1,046.64x = 1,569.42 × 397.02
  4. Step 4: Simplify right side
    1,046.64x = 623,091.13
  5. Step 5: Solve for x
    x = 623,091.13/1,046.64
  6. Step 6: Final answer
    x = 595.33

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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.