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Finding the Fourth Proportional to 1,178.83, 1,627.02 and 681.58

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Solution

The fourth proportional to 1,178.83, 1,627.02 and 681.58 is: 940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.83 : 1,627.02 = 681.58 : x
  2. Step 2: Convert to fraction form
    1,178.83/1,627.02 = 681.58/x
  3. Step 3: Cross multiply
    1,178.83x = 1,627.02 × 681.58
  4. Step 4: Simplify right side
    1,178.83x = 1,108,944.29
  5. Step 5: Solve for x
    x = 1,108,944.29/1,178.83
  6. Step 6: Final answer
    x = 940.72

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