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Finding the Fourth Proportional to 1,185.15, 1,778.60 and 956.77

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Solution

The fourth proportional to 1,185.15, 1,778.60 and 956.77 is: 1,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.15 : 1,778.60 = 956.77 : x
  2. Step 2: Convert to fraction form
    1,185.15/1,778.60 = 956.77/x
  3. Step 3: Cross multiply
    1,185.15x = 1,778.60 × 956.77
  4. Step 4: Simplify right side
    1,185.15x = 1,701,711.12
  5. Step 5: Solve for x
    x = 1,701,711.12/1,185.15
  6. Step 6: Final answer
    x = 1,435.86

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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.