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Finding the Fourth Proportional to 1,437.55, 1,983.49 and 878.24

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Solution

The fourth proportional to 1,437.55, 1,983.49 and 878.24 is: 1,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.55 : 1,983.49 = 878.24 : x
  2. Step 2: Convert to fraction form
    1,437.55/1,983.49 = 878.24/x
  3. Step 3: Cross multiply
    1,437.55x = 1,983.49 × 878.24
  4. Step 4: Simplify right side
    1,437.55x = 1,741,983.02
  5. Step 5: Solve for x
    x = 1,741,983.02/1,437.55
  6. Step 6: Final answer
    x = 1,211.77

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1.5x scale

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.