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Finding the Fourth Proportional to 882.28, 1,217.66 and 533.16

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Solution

The fourth proportional to 882.28, 1,217.66 and 533.16 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.28 : 1,217.66 = 533.16 : x
  2. Step 2: Convert to fraction form
    882.28/1,217.66 = 533.16/x
  3. Step 3: Cross multiply
    882.28x = 1,217.66 × 533.16
  4. Step 4: Simplify right side
    882.28x = 649,207.61
  5. Step 5: Solve for x
    x = 649,207.61/882.28
  6. Step 6: Final answer
    x = 735.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.