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Finding the Fourth Proportional to 1,187.83, 1,782.65 and 776.85

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Solution

The fourth proportional to 1,187.83, 1,782.65 and 776.85 is: 1,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.83 : 1,782.65 = 776.85 : x
  2. Step 2: Convert to fraction form
    1,187.83/1,782.65 = 776.85/x
  3. Step 3: Cross multiply
    1,187.83x = 1,782.65 × 776.85
  4. Step 4: Simplify right side
    1,187.83x = 1,384,851.65
  5. Step 5: Solve for x
    x = 1,384,851.65/1,187.83
  6. Step 6: Final answer
    x = 1,165.87

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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.