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Finding the Fourth Proportional to 1,027.62, 1,543.48 and 617.52

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Solution

The fourth proportional to 1,027.62, 1,543.48 and 617.52 is: 927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.62 : 1,543.48 = 617.52 : x
  2. Step 2: Convert to fraction form
    1,027.62/1,543.48 = 617.52/x
  3. Step 3: Cross multiply
    1,027.62x = 1,543.48 × 617.52
  4. Step 4: Simplify right side
    1,027.62x = 953,129.77
  5. Step 5: Solve for x
    x = 953,129.77/1,027.62
  6. Step 6: Final answer
    x = 927.51

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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.