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Finding the Fourth Proportional to 1,095.50, 1,512.04 and 681.74

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Solution

The fourth proportional to 1,095.50, 1,512.04 and 681.74 is: 940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.50 : 1,512.04 = 681.74 : x
  2. Step 2: Convert to fraction form
    1,095.50/1,512.04 = 681.74/x
  3. Step 3: Cross multiply
    1,095.50x = 1,512.04 × 681.74
  4. Step 4: Simplify right side
    1,095.50x = 1,030,818.15
  5. Step 5: Solve for x
    x = 1,030,818.15/1,095.50
  6. Step 6: Final answer
    x = 940.96

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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.