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Finding the Fourth Proportional to 1,149.03, 1,585.77 and 677.07

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Solution

The fourth proportional to 1,149.03, 1,585.77 and 677.07 is: 934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.03 : 1,585.77 = 677.07 : x
  2. Step 2: Convert to fraction form
    1,149.03/1,585.77 = 677.07/x
  3. Step 3: Cross multiply
    1,149.03x = 1,585.77 × 677.07
  4. Step 4: Simplify right side
    1,149.03x = 1,073,680.47
  5. Step 5: Solve for x
    x = 1,073,680.47/1,149.03
  6. Step 6: Final answer
    x = 934.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.