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Finding the Fourth Proportional to 807.78, 1,114.45 and 528.18

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Solution

The fourth proportional to 807.78, 1,114.45 and 528.18 is: 728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.78 : 1,114.45 = 528.18 : x
  2. Step 2: Convert to fraction form
    807.78/1,114.45 = 528.18/x
  3. Step 3: Cross multiply
    807.78x = 1,114.45 × 528.18
  4. Step 4: Simplify right side
    807.78x = 588,630.20
  5. Step 5: Solve for x
    x = 588,630.20/807.78
  6. Step 6: Final answer
    x = 728.70

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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.