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Finding the Fourth Proportional to 1,502.57, 2,073.63 and 839.42

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Solution

The fourth proportional to 1,502.57, 2,073.63 and 839.42 is: 1,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.57 : 2,073.63 = 839.42 : x
  2. Step 2: Convert to fraction form
    1,502.57/2,073.63 = 839.42/x
  3. Step 3: Cross multiply
    1,502.57x = 2,073.63 × 839.42
  4. Step 4: Simplify right side
    1,502.57x = 1,740,646.49
  5. Step 5: Solve for x
    x = 1,740,646.49/1,502.57
  6. Step 6: Final answer
    x = 1,158.45

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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.