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Finding the Fourth Proportional to 1,038.04, 1,557.52 and 550.97

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Solution

The fourth proportional to 1,038.04, 1,557.52 and 550.97 is: 826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.04 : 1,557.52 = 550.97 : x
  2. Step 2: Convert to fraction form
    1,038.04/1,557.52 = 550.97/x
  3. Step 3: Cross multiply
    1,038.04x = 1,557.52 × 550.97
  4. Step 4: Simplify right side
    1,038.04x = 858,149.31
  5. Step 5: Solve for x
    x = 858,149.31/1,038.04
  6. Step 6: Final answer
    x = 826.70

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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.