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Finding the Fourth Proportional to 1,046.90, 1,569.41 and 397.18

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Solution

The fourth proportional to 1,046.90, 1,569.41 and 397.18 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.90 : 1,569.41 = 397.18 : x
  2. Step 2: Convert to fraction form
    1,046.90/1,569.41 = 397.18/x
  3. Step 3: Cross multiply
    1,046.90x = 1,569.41 × 397.18
  4. Step 4: Simplify right side
    1,046.90x = 623,338.26
  5. Step 5: Solve for x
    x = 623,338.26/1,046.90
  6. Step 6: Final answer
    x = 595.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.