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Finding the Fourth Proportional to 1,427.52, 2,143.24 and 734.76

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Solution

The fourth proportional to 1,427.52, 2,143.24 and 734.76 is: 1,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.52 : 2,143.24 = 734.76 : x
  2. Step 2: Convert to fraction form
    1,427.52/2,143.24 = 734.76/x
  3. Step 3: Cross multiply
    1,427.52x = 2,143.24 × 734.76
  4. Step 4: Simplify right side
    1,427.52x = 1,574,767.02
  5. Step 5: Solve for x
    x = 1,574,767.02/1,427.52
  6. Step 6: Final answer
    x = 1,103.15

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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.