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Finding the Fourth Proportional to 1,506.70, 2,260 and 532.78

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Solution

The fourth proportional to 1,506.70, 2,260 and 532.78 is: 799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.70 : 2,260 = 532.78 : x
  2. Step 2: Convert to fraction form
    1,506.70/2,260 = 532.78/x
  3. Step 3: Cross multiply
    1,506.70x = 2,260 × 532.78
  4. Step 4: Simplify right side
    1,506.70x = 1,204,082.80
  5. Step 5: Solve for x
    x = 1,204,082.80/1,506.70
  6. Step 6: Final answer
    x = 799.15

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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.