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Finding the Fourth Proportional to 1,045.97, 1,569.23 and 396.71

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Solution

The fourth proportional to 1,045.97, 1,569.23 and 396.71 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.97 : 1,569.23 = 396.71 : x
  2. Step 2: Convert to fraction form
    1,045.97/1,569.23 = 396.71/x
  3. Step 3: Cross multiply
    1,045.97x = 1,569.23 × 396.71
  4. Step 4: Simplify right side
    1,045.97x = 622,529.23
  5. Step 5: Solve for x
    x = 622,529.23/1,045.97
  6. Step 6: Final answer
    x = 595.17

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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.