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Finding the Fourth Proportional to 1,175.91, 1,763.67 and 551.28

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Solution

The fourth proportional to 1,175.91, 1,763.67 and 551.28 is: 826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.91 : 1,763.67 = 551.28 : x
  2. Step 2: Convert to fraction form
    1,175.91/1,763.67 = 551.28/x
  3. Step 3: Cross multiply
    1,175.91x = 1,763.67 × 551.28
  4. Step 4: Simplify right side
    1,175.91x = 972,276.00
  5. Step 5: Solve for x
    x = 972,276.00/1,175.91
  6. Step 6: Final answer
    x = 826.83

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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.