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Finding the Fourth Proportional to 818.71, 1,228.02 and 571.20

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Solution

The fourth proportional to 818.71, 1,228.02 and 571.20 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.71 : 1,228.02 = 571.20 : x
  2. Step 2: Convert to fraction form
    818.71/1,228.02 = 571.20/x
  3. Step 3: Cross multiply
    818.71x = 1,228.02 × 571.20
  4. Step 4: Simplify right side
    818.71x = 701,445.02
  5. Step 5: Solve for x
    x = 701,445.02/818.71
  6. Step 6: Final answer
    x = 856.77

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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.