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Finding the Fourth Proportional to 1,167.62, 1,742.88 and 1,029.23

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Solution

The fourth proportional to 1,167.62, 1,742.88 and 1,029.23 is: 1,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.62 : 1,742.88 = 1,029.23 : x
  2. Step 2: Convert to fraction form
    1,167.62/1,742.88 = 1,029.23/x
  3. Step 3: Cross multiply
    1,167.62x = 1,742.88 × 1,029.23
  4. Step 4: Simplify right side
    1,167.62x = 1,793,815.67
  5. Step 5: Solve for x
    x = 1,793,815.67/1,167.62
  6. Step 6: Final answer
    x = 1,536.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.