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Finding the Fourth Proportional to 871.02, 1,305.13 and 596.18

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Solution

The fourth proportional to 871.02, 1,305.13 and 596.18 is: 893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.02 : 1,305.13 = 596.18 : x
  2. Step 2: Convert to fraction form
    871.02/1,305.13 = 596.18/x
  3. Step 3: Cross multiply
    871.02x = 1,305.13 × 596.18
  4. Step 4: Simplify right side
    871.02x = 778,092.40
  5. Step 5: Solve for x
    x = 778,092.40/871.02
  6. Step 6: Final answer
    x = 893.31

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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.