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Finding the Fourth Proportional to 881.53, 1,215.40 and 566.23

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Solution

The fourth proportional to 881.53, 1,215.40 and 566.23 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.53 : 1,215.40 = 566.23 : x
  2. Step 2: Convert to fraction form
    881.53/1,215.40 = 566.23/x
  3. Step 3: Cross multiply
    881.53x = 1,215.40 × 566.23
  4. Step 4: Simplify right side
    881.53x = 688,193.11
  5. Step 5: Solve for x
    x = 688,193.11/881.53
  6. Step 6: Final answer
    x = 780.68

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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.