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Finding the Fourth Proportional to 956.15, 1,432.85 and 735.92

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Solution

The fourth proportional to 956.15, 1,432.85 and 735.92 is: 1,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.15 : 1,432.85 = 735.92 : x
  2. Step 2: Convert to fraction form
    956.15/1,432.85 = 735.92/x
  3. Step 3: Cross multiply
    956.15x = 1,432.85 × 735.92
  4. Step 4: Simplify right side
    956.15x = 1,054,452.13
  5. Step 5: Solve for x
    x = 1,054,452.13/956.15
  6. Step 6: Final answer
    x = 1,102.82

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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.