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Finding the Fourth Proportional to 1,502.87, 2,073.81 and 839.71

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Solution

The fourth proportional to 1,502.87, 2,073.81 and 839.71 is: 1,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.87 : 2,073.81 = 839.71 : x
  2. Step 2: Convert to fraction form
    1,502.87/2,073.81 = 839.71/x
  3. Step 3: Cross multiply
    1,502.87x = 2,073.81 × 839.71
  4. Step 4: Simplify right side
    1,502.87x = 1,741,395.91
  5. Step 5: Solve for x
    x = 1,741,395.91/1,502.87
  6. Step 6: Final answer
    x = 1,158.71

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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.