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Finding the Fourth Proportional to 1,016.90, 1,523.55 and 901.70

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Solution

The fourth proportional to 1,016.90, 1,523.55 and 901.70 is: 1,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.90 : 1,523.55 = 901.70 : x
  2. Step 2: Convert to fraction form
    1,016.90/1,523.55 = 901.70/x
  3. Step 3: Cross multiply
    1,016.90x = 1,523.55 × 901.70
  4. Step 4: Simplify right side
    1,016.90x = 1,373,785.04
  5. Step 5: Solve for x
    x = 1,373,785.04/1,016.90
  6. Step 6: Final answer
    x = 1,350.95

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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.