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Finding the Fourth Proportional to 1,178.90, 1,626.77 and 681.47

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Solution

The fourth proportional to 1,178.90, 1,626.77 and 681.47 is: 940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.90 : 1,626.77 = 681.47 : x
  2. Step 2: Convert to fraction form
    1,178.90/1,626.77 = 681.47/x
  3. Step 3: Cross multiply
    1,178.90x = 1,626.77 × 681.47
  4. Step 4: Simplify right side
    1,178.90x = 1,108,594.95
  5. Step 5: Solve for x
    x = 1,108,594.95/1,178.90
  6. Step 6: Final answer
    x = 940.36

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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.