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Finding the Fourth Proportional to 750.62, 1,121.42 and 474.50

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Solution

The fourth proportional to 750.62, 1,121.42 and 474.50 is: 708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.62 : 1,121.42 = 474.50 : x
  2. Step 2: Convert to fraction form
    750.62/1,121.42 = 474.50/x
  3. Step 3: Cross multiply
    750.62x = 1,121.42 × 474.50
  4. Step 4: Simplify right side
    750.62x = 532,113.79
  5. Step 5: Solve for x
    x = 532,113.79/750.62
  6. Step 6: Final answer
    x = 708.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.