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Finding the Fourth Proportional to 750.50, 1,125.93 and 237.50

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Solution

The fourth proportional to 750.50, 1,125.93 and 237.50 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.50 : 1,125.93 = 237.50 : x
  2. Step 2: Convert to fraction form
    750.50/1,125.93 = 237.50/x
  3. Step 3: Cross multiply
    750.50x = 1,125.93 × 237.50
  4. Step 4: Simplify right side
    750.50x = 267,408.38
  5. Step 5: Solve for x
    x = 267,408.38/750.50
  6. Step 6: Final answer
    x = 356.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.