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Finding the Fourth Proportional to 1,310.86, 1,808.86 and 786.90

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Solution

The fourth proportional to 1,310.86, 1,808.86 and 786.90 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.86 : 1,808.86 = 786.90 : x
  2. Step 2: Convert to fraction form
    1,310.86/1,808.86 = 786.90/x
  3. Step 3: Cross multiply
    1,310.86x = 1,808.86 × 786.90
  4. Step 4: Simplify right side
    1,310.86x = 1,423,391.93
  5. Step 5: Solve for x
    x = 1,423,391.93/1,310.86
  6. Step 6: Final answer
    x = 1,085.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.