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Finding the Fourth Proportional to 644.48, 961.28 and 547.20

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Solution

The fourth proportional to 644.48, 961.28 and 547.20 is: 816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 961.28 = 547.20 : x
  2. Step 2: Convert to fraction form
    644.48/961.28 = 547.20/x
  3. Step 3: Cross multiply
    644.48x = 961.28 × 547.20
  4. Step 4: Simplify right side
    644.48x = 526,012.42
  5. Step 5: Solve for x
    x = 526,012.42/644.48
  6. Step 6: Final answer
    x = 816.18

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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.