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Finding the Fourth Proportional to 871.15, 1,306.04 and 596.41

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Solution

The fourth proportional to 871.15, 1,306.04 and 596.41 is: 894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.15 : 1,306.04 = 596.41 : x
  2. Step 2: Convert to fraction form
    871.15/1,306.04 = 596.41/x
  3. Step 3: Cross multiply
    871.15x = 1,306.04 × 596.41
  4. Step 4: Simplify right side
    871.15x = 778,931.31
  5. Step 5: Solve for x
    x = 778,931.31/871.15
  6. Step 6: Final answer
    x = 894.14

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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.