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Finding the Fourth Proportional to 737.52, 1,101.14 and 650.04

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Solution

The fourth proportional to 737.52, 1,101.14 and 650.04 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.52 : 1,101.14 = 650.04 : x
  2. Step 2: Convert to fraction form
    737.52/1,101.14 = 650.04/x
  3. Step 3: Cross multiply
    737.52x = 1,101.14 × 650.04
  4. Step 4: Simplify right side
    737.52x = 715,785.05
  5. Step 5: Solve for x
    x = 715,785.05/737.52
  6. Step 6: Final answer
    x = 970.53

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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.