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Finding the Fourth Proportional to 951.93, 1,427.94 and 538.10

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Solution

The fourth proportional to 951.93, 1,427.94 and 538.10 is: 807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.93 : 1,427.94 = 538.10 : x
  2. Step 2: Convert to fraction form
    951.93/1,427.94 = 538.10/x
  3. Step 3: Cross multiply
    951.93x = 1,427.94 × 538.10
  4. Step 4: Simplify right side
    951.93x = 768,370.94
  5. Step 5: Solve for x
    x = 768,370.94/951.93
  6. Step 6: Final answer
    x = 807.18

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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.