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Finding the Fourth Proportional to 1,474.85, 2,211.68 and 652.57

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Solution

The fourth proportional to 1,474.85, 2,211.68 and 652.57 is: 978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.85 : 2,211.68 = 652.57 : x
  2. Step 2: Convert to fraction form
    1,474.85/2,211.68 = 652.57/x
  3. Step 3: Cross multiply
    1,474.85x = 2,211.68 × 652.57
  4. Step 4: Simplify right side
    1,474.85x = 1,443,264.96
  5. Step 5: Solve for x
    x = 1,443,264.96/1,474.85
  6. Step 6: Final answer
    x = 978.58

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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.