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Finding the Fourth Proportional to 767.04, 1,149.48 and 550.14

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Solution

The fourth proportional to 767.04, 1,149.48 and 550.14 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,149.48 = 550.14 : x
  2. Step 2: Convert to fraction form
    767.04/1,149.48 = 550.14/x
  3. Step 3: Cross multiply
    767.04x = 1,149.48 × 550.14
  4. Step 4: Simplify right side
    767.04x = 632,374.93
  5. Step 5: Solve for x
    x = 632,374.93/767.04
  6. Step 6: Final answer
    x = 824.44

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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.