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Finding the Fourth Proportional to 1,044.53, 1,565.99 and 428.39

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Solution

The fourth proportional to 1,044.53, 1,565.99 and 428.39 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.53 : 1,565.99 = 428.39 : x
  2. Step 2: Convert to fraction form
    1,044.53/1,565.99 = 428.39/x
  3. Step 3: Cross multiply
    1,044.53x = 1,565.99 × 428.39
  4. Step 4: Simplify right side
    1,044.53x = 670,852.31
  5. Step 5: Solve for x
    x = 670,852.31/1,044.53
  6. Step 6: Final answer
    x = 642.25

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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.