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Finding the Fourth Proportional to 1,167.17, 1,752.48 and 779.59

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Solution

The fourth proportional to 1,167.17, 1,752.48 and 779.59 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.17 : 1,752.48 = 779.59 : x
  2. Step 2: Convert to fraction form
    1,167.17/1,752.48 = 779.59/x
  3. Step 3: Cross multiply
    1,167.17x = 1,752.48 × 779.59
  4. Step 4: Simplify right side
    1,167.17x = 1,366,215.88
  5. Step 5: Solve for x
    x = 1,366,215.88/1,167.17
  6. Step 6: Final answer
    x = 1,170.54

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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.