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Finding the Fourth Proportional to 951.12, 1,427.68 and 541.06

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Solution

The fourth proportional to 951.12, 1,427.68 and 541.06 is: 812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.12 : 1,427.68 = 541.06 : x
  2. Step 2: Convert to fraction form
    951.12/1,427.68 = 541.06/x
  3. Step 3: Cross multiply
    951.12x = 1,427.68 × 541.06
  4. Step 4: Simplify right side
    951.12x = 772,460.54
  5. Step 5: Solve for x
    x = 772,460.54/951.12
  6. Step 6: Final answer
    x = 812.16

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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.