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Finding the Fourth Proportional to 951.47, 1,425.64 and 585.48

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Solution

The fourth proportional to 951.47, 1,425.64 and 585.48 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.47 : 1,425.64 = 585.48 : x
  2. Step 2: Convert to fraction form
    951.47/1,425.64 = 585.48/x
  3. Step 3: Cross multiply
    951.47x = 1,425.64 × 585.48
  4. Step 4: Simplify right side
    951.47x = 834,685.81
  5. Step 5: Solve for x
    x = 834,685.81/951.47
  6. Step 6: Final answer
    x = 877.26

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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.