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Finding the Fourth Proportional to 871.36, 1,306.77 and 286.23

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Solution

The fourth proportional to 871.36, 1,306.77 and 286.23 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.36 : 1,306.77 = 286.23 : x
  2. Step 2: Convert to fraction form
    871.36/1,306.77 = 286.23/x
  3. Step 3: Cross multiply
    871.36x = 1,306.77 × 286.23
  4. Step 4: Simplify right side
    871.36x = 374,032.74
  5. Step 5: Solve for x
    x = 374,032.74/871.36
  6. Step 6: Final answer
    x = 429.25

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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.