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Finding the Fourth Proportional to 1,474.31, 2,211.84 and 549.90

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Solution

The fourth proportional to 1,474.31, 2,211.84 and 549.90 is: 824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.31 : 2,211.84 = 549.90 : x
  2. Step 2: Convert to fraction form
    1,474.31/2,211.84 = 549.90/x
  3. Step 3: Cross multiply
    1,474.31x = 2,211.84 × 549.90
  4. Step 4: Simplify right side
    1,474.31x = 1,216,296.51
  5. Step 5: Solve for x
    x = 1,216,296.51/1,474.31
  6. Step 6: Final answer
    x = 824.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.