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Finding the Fourth Proportional to 648.80, 972.12 and 456.02

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Solution

The fourth proportional to 648.80, 972.12 and 456.02 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.80 : 972.12 = 456.02 : x
  2. Step 2: Convert to fraction form
    648.80/972.12 = 456.02/x
  3. Step 3: Cross multiply
    648.80x = 972.12 × 456.02
  4. Step 4: Simplify right side
    648.80x = 443,306.16
  5. Step 5: Solve for x
    x = 443,306.16/648.80
  6. Step 6: Final answer
    x = 683.27

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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.