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Finding the Fourth Proportional to 1,474.66, 2,211.90 and 652.69

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Solution

The fourth proportional to 1,474.66, 2,211.90 and 652.69 is: 979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.66 : 2,211.90 = 652.69 : x
  2. Step 2: Convert to fraction form
    1,474.66/2,211.90 = 652.69/x
  3. Step 3: Cross multiply
    1,474.66x = 2,211.90 × 652.69
  4. Step 4: Simplify right side
    1,474.66x = 1,443,685.01
  5. Step 5: Solve for x
    x = 1,443,685.01/1,474.66
  6. Step 6: Final answer
    x = 979.00

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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.