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Finding the Fourth Proportional to 882.76, 1,217.80 and 533.40

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Solution

The fourth proportional to 882.76, 1,217.80 and 533.40 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.76 : 1,217.80 = 533.40 : x
  2. Step 2: Convert to fraction form
    882.76/1,217.80 = 533.40/x
  3. Step 3: Cross multiply
    882.76x = 1,217.80 × 533.40
  4. Step 4: Simplify right side
    882.76x = 649,574.52
  5. Step 5: Solve for x
    x = 649,574.52/882.76
  6. Step 6: Final answer
    x = 735.84

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