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Finding the Fourth Proportional to 1,474.29, 2,211.78 and 549.87

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Solution

The fourth proportional to 1,474.29, 2,211.78 and 549.87 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.29 : 2,211.78 = 549.87 : x
  2. Step 2: Convert to fraction form
    1,474.29/2,211.78 = 549.87/x
  3. Step 3: Cross multiply
    1,474.29x = 2,211.78 × 549.87
  4. Step 4: Simplify right side
    1,474.29x = 1,216,191.47
  5. Step 5: Solve for x
    x = 1,216,191.47/1,474.29
  6. Step 6: Final answer
    x = 824.93

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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.