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Finding the Fourth Proportional to 1,023.85, 1,412.13 and 691.75

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Solution

The fourth proportional to 1,023.85, 1,412.13 and 691.75 is: 954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.85 : 1,412.13 = 691.75 : x
  2. Step 2: Convert to fraction form
    1,023.85/1,412.13 = 691.75/x
  3. Step 3: Cross multiply
    1,023.85x = 1,412.13 × 691.75
  4. Step 4: Simplify right side
    1,023.85x = 976,840.93
  5. Step 5: Solve for x
    x = 976,840.93/1,023.85
  6. Step 6: Final answer
    x = 954.09

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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.