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Finding the Fourth Proportional to 1,046.66, 1,569.75 and 397.46

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Solution

The fourth proportional to 1,046.66, 1,569.75 and 397.46 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.66 : 1,569.75 = 397.46 : x
  2. Step 2: Convert to fraction form
    1,046.66/1,569.75 = 397.46/x
  3. Step 3: Cross multiply
    1,046.66x = 1,569.75 × 397.46
  4. Step 4: Simplify right side
    1,046.66x = 623,912.84
  5. Step 5: Solve for x
    x = 623,912.84/1,046.66
  6. Step 6: Final answer
    x = 596.10

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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.