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Finding the Fourth Proportional to 1,175.22, 1,761.80 and 1,002.99

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Solution

The fourth proportional to 1,175.22, 1,761.80 and 1,002.99 is: 1,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.22 : 1,761.80 = 1,002.99 : x
  2. Step 2: Convert to fraction form
    1,175.22/1,761.80 = 1,002.99/x
  3. Step 3: Cross multiply
    1,175.22x = 1,761.80 × 1,002.99
  4. Step 4: Simplify right side
    1,175.22x = 1,767,070.29
  5. Step 5: Solve for x
    x = 1,767,070.29/1,175.22
  6. Step 6: Final answer
    x = 1,503.61

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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.