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Finding the Fourth Proportional to 1,569.49, 2,354.20 and 399.53

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Solution

The fourth proportional to 1,569.49, 2,354.20 and 399.53 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.49 : 2,354.20 = 399.53 : x
  2. Step 2: Convert to fraction form
    1,569.49/2,354.20 = 399.53/x
  3. Step 3: Cross multiply
    1,569.49x = 2,354.20 × 399.53
  4. Step 4: Simplify right side
    1,569.49x = 940,578.41
  5. Step 5: Solve for x
    x = 940,578.41/1,569.49
  6. Step 6: Final answer
    x = 599.29

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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.