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Finding the Fourth Proportional to 817.52, 1,226.00 and 442.20

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Solution

The fourth proportional to 817.52, 1,226.00 and 442.20 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.52 : 1,226.00 = 442.20 : x
  2. Step 2: Convert to fraction form
    817.52/1,226.00 = 442.20/x
  3. Step 3: Cross multiply
    817.52x = 1,226.00 × 442.20
  4. Step 4: Simplify right side
    817.52x = 542,132.42
  5. Step 5: Solve for x
    x = 542,132.42/817.52
  6. Step 6: Final answer
    x = 663.14

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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.