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Finding the Fourth Proportional to 818.76, 1,129.56 and 566.64

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Solution

The fourth proportional to 818.76, 1,129.56 and 566.64 is: 781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.76 : 1,129.56 = 566.64 : x
  2. Step 2: Convert to fraction form
    818.76/1,129.56 = 566.64/x
  3. Step 3: Cross multiply
    818.76x = 1,129.56 × 566.64
  4. Step 4: Simplify right side
    818.76x = 640,053.88
  5. Step 5: Solve for x
    x = 640,053.88/818.76
  6. Step 6: Final answer
    x = 781.74

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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.