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Finding the Fourth Proportional to 882.74, 1,217.28 and 533.24

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Solution

The fourth proportional to 882.74, 1,217.28 and 533.24 is: 735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,217.28 = 533.24 : x
  2. Step 2: Convert to fraction form
    882.74/1,217.28 = 533.24/x
  3. Step 3: Cross multiply
    882.74x = 1,217.28 × 533.24
  4. Step 4: Simplify right side
    882.74x = 649,102.39
  5. Step 5: Solve for x
    x = 649,102.39/882.74
  6. Step 6: Final answer
    x = 735.33

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Double scale
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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.