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Finding the Fourth Proportional to 1,023.03, 1,411.34 and 691.65

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Solution

The fourth proportional to 1,023.03, 1,411.34 and 691.65 is: 954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.03 : 1,411.34 = 691.65 : x
  2. Step 2: Convert to fraction form
    1,023.03/1,411.34 = 691.65/x
  3. Step 3: Cross multiply
    1,023.03x = 1,411.34 × 691.65
  4. Step 4: Simplify right side
    1,023.03x = 976,149.85
  5. Step 5: Solve for x
    x = 976,149.85/1,023.03
  6. Step 6: Final answer
    x = 954.18

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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.