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Finding the Fourth Proportional to 821.76, 1,233.45 and 497.76

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Solution

The fourth proportional to 821.76, 1,233.45 and 497.76 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,233.45 = 497.76 : x
  2. Step 2: Convert to fraction form
    821.76/1,233.45 = 497.76/x
  3. Step 3: Cross multiply
    821.76x = 1,233.45 × 497.76
  4. Step 4: Simplify right side
    821.76x = 613,962.07
  5. Step 5: Solve for x
    x = 613,962.07/821.76
  6. Step 6: Final answer
    x = 747.13

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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.