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Finding the Fourth Proportional to 1,178.61, 1,626.53 and 681.40

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Solution

The fourth proportional to 1,178.61, 1,626.53 and 681.40 is: 940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.61 : 1,626.53 = 681.40 : x
  2. Step 2: Convert to fraction form
    1,178.61/1,626.53 = 681.40/x
  3. Step 3: Cross multiply
    1,178.61x = 1,626.53 × 681.40
  4. Step 4: Simplify right side
    1,178.61x = 1,108,317.54
  5. Step 5: Solve for x
    x = 1,108,317.54/1,178.61
  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.