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Finding the Fourth Proportional to 952.03, 1,425.97 and 585.71

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Solution

The fourth proportional to 952.03, 1,425.97 and 585.71 is: 877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.03 : 1,425.97 = 585.71 : x
  2. Step 2: Convert to fraction form
    952.03/1,425.97 = 585.71/x
  3. Step 3: Cross multiply
    952.03x = 1,425.97 × 585.71
  4. Step 4: Simplify right side
    952.03x = 835,204.89
  5. Step 5: Solve for x
    x = 835,204.89/952.03
  6. Step 6: Final answer
    x = 877.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.