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Finding the Fourth Proportional to 882.72, 1,323.52 and 549.20

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Solution

The fourth proportional to 882.72, 1,323.52 and 549.20 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.72 : 1,323.52 = 549.20 : x
  2. Step 2: Convert to fraction form
    882.72/1,323.52 = 549.20/x
  3. Step 3: Cross multiply
    882.72x = 1,323.52 × 549.20
  4. Step 4: Simplify right side
    882.72x = 726,877.18
  5. Step 5: Solve for x
    x = 726,877.18/882.72
  6. Step 6: Final answer
    x = 823.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.