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Finding the Fourth Proportional to 642.48, 964.20 and 514.80

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Solution

The fourth proportional to 642.48, 964.20 and 514.80 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 964.20 = 514.80 : x
  2. Step 2: Convert to fraction form
    642.48/964.20 = 514.80/x
  3. Step 3: Cross multiply
    642.48x = 964.20 × 514.80
  4. Step 4: Simplify right side
    642.48x = 496,370.16
  5. Step 5: Solve for x
    x = 496,370.16/642.48
  6. Step 6: Final answer
    x = 772.58

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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.