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Finding the Fourth Proportional to 750.52, 1,125.76 and 230.52

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Solution

The fourth proportional to 750.52, 1,125.76 and 230.52 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,125.76 = 230.52 : x
  2. Step 2: Convert to fraction form
    750.52/1,125.76 = 230.52/x
  3. Step 3: Cross multiply
    750.52x = 1,125.76 × 230.52
  4. Step 4: Simplify right side
    750.52x = 259,510.20
  5. Step 5: Solve for x
    x = 259,510.20/750.52
  6. Step 6: Final answer
    x = 345.77

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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.