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Finding the Fourth Proportional to 750.10, 1,125.15 and 658.98

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Solution

The fourth proportional to 750.10, 1,125.15 and 658.98 is: 988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.10 : 1,125.15 = 658.98 : x
  2. Step 2: Convert to fraction form
    750.10/1,125.15 = 658.98/x
  3. Step 3: Cross multiply
    750.10x = 1,125.15 × 658.98
  4. Step 4: Simplify right side
    750.10x = 741,451.35
  5. Step 5: Solve for x
    x = 741,451.35/750.10
  6. Step 6: Final answer
    x = 988.47

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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.