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Finding the Fourth Proportional to 821.76, 1,132.80 and 588.48

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Solution

The fourth proportional to 821.76, 1,132.80 and 588.48 is: 811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,132.80 = 588.48 : x
  2. Step 2: Convert to fraction form
    821.76/1,132.80 = 588.48/x
  3. Step 3: Cross multiply
    821.76x = 1,132.80 × 588.48
  4. Step 4: Simplify right side
    821.76x = 666,630.14
  5. Step 5: Solve for x
    x = 666,630.14/821.76
  6. Step 6: Final answer
    x = 811.22

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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.