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Finding the Fourth Proportional to 748.72, 1,123.44 and 646.64

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Solution

The fourth proportional to 748.72, 1,123.44 and 646.64 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,123.44 = 646.64 : x
  2. Step 2: Convert to fraction form
    748.72/1,123.44 = 646.64/x
  3. Step 3: Cross multiply
    748.72x = 1,123.44 × 646.64
  4. Step 4: Simplify right side
    748.72x = 726,461.24
  5. Step 5: Solve for x
    x = 726,461.24/748.72
  6. Step 6: Final answer
    x = 970.27

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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.