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Finding the Fourth Proportional to 750.52, 1,125.96 and 365.68

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Solution

The fourth proportional to 750.52, 1,125.96 and 365.68 is: 548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,125.96 = 365.68 : x
  2. Step 2: Convert to fraction form
    750.52/1,125.96 = 365.68/x
  3. Step 3: Cross multiply
    750.52x = 1,125.96 × 365.68
  4. Step 4: Simplify right side
    750.52x = 411,741.05
  5. Step 5: Solve for x
    x = 411,741.05/750.52
  6. Step 6: Final answer
    x = 548.61

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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.