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Finding the Fourth Proportional to 850.18, 1,276.48 and 557.76

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Solution

The fourth proportional to 850.18, 1,276.48 and 557.76 is: 837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.18 : 1,276.48 = 557.76 : x
  2. Step 2: Convert to fraction form
    850.18/1,276.48 = 557.76/x
  3. Step 3: Cross multiply
    850.18x = 1,276.48 × 557.76
  4. Step 4: Simplify right side
    850.18x = 711,969.48
  5. Step 5: Solve for x
    x = 711,969.48/850.18
  6. Step 6: Final answer
    x = 837.43

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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.