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Finding the Fourth Proportional to 1,044.86, 1,567.55 and 737.31

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Solution

The fourth proportional to 1,044.86, 1,567.55 and 737.31 is: 1,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.86 : 1,567.55 = 737.31 : x
  2. Step 2: Convert to fraction form
    1,044.86/1,567.55 = 737.31/x
  3. Step 3: Cross multiply
    1,044.86x = 1,567.55 × 737.31
  4. Step 4: Simplify right side
    1,044.86x = 1,155,776.98
  5. Step 5: Solve for x
    x = 1,155,776.98/1,044.86
  6. Step 6: Final answer
    x = 1,106.15

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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.