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Finding the Fourth Proportional to 736.32, 1,097.73 and 653.70

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Solution

The fourth proportional to 736.32, 1,097.73 and 653.70 is: 974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,097.73 = 653.70 : x
  2. Step 2: Convert to fraction form
    736.32/1,097.73 = 653.70/x
  3. Step 3: Cross multiply
    736.32x = 1,097.73 × 653.70
  4. Step 4: Simplify right side
    736.32x = 717,586.10
  5. Step 5: Solve for x
    x = 717,586.10/736.32
  6. Step 6: Final answer
    x = 974.56

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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.