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Finding the Fourth Proportional to 1,027.35, 1,418.39 and 712.52

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Solution

The fourth proportional to 1,027.35, 1,418.39 and 712.52 is: 983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.35 : 1,418.39 = 712.52 : x
  2. Step 2: Convert to fraction form
    1,027.35/1,418.39 = 712.52/x
  3. Step 3: Cross multiply
    1,027.35x = 1,418.39 × 712.52
  4. Step 4: Simplify right side
    1,027.35x = 1,010,631.25
  5. Step 5: Solve for x
    x = 1,010,631.25/1,027.35
  6. Step 6: Final answer
    x = 983.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.