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Finding the Fourth Proportional to 1,437.11, 1,983.15 and 847.52

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Solution

The fourth proportional to 1,437.11, 1,983.15 and 847.52 is: 1,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.11 : 1,983.15 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,437.11/1,983.15 = 847.52/x
  3. Step 3: Cross multiply
    1,437.11x = 1,983.15 × 847.52
  4. Step 4: Simplify right side
    1,437.11x = 1,680,759.29
  5. Step 5: Solve for x
    x = 1,680,759.29/1,437.11
  6. Step 6: Final answer
    x = 1,169.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.