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Finding the Fourth Proportional to 1,502.71, 2,073.74 and 839.57

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Solution

The fourth proportional to 1,502.71, 2,073.74 and 839.57 is: 1,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.71 : 2,073.74 = 839.57 : x
  2. Step 2: Convert to fraction form
    1,502.71/2,073.74 = 839.57/x
  3. Step 3: Cross multiply
    1,502.71x = 2,073.74 × 839.57
  4. Step 4: Simplify right side
    1,502.71x = 1,741,035.33
  5. Step 5: Solve for x
    x = 1,741,035.33/1,502.71
  6. Step 6: Final answer
    x = 1,158.60

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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.