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Finding the Fourth Proportional to 1,081.61, 1,492.40 and 688.49

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Solution

The fourth proportional to 1,081.61, 1,492.40 and 688.49 is: 949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.61 : 1,492.40 = 688.49 : x
  2. Step 2: Convert to fraction form
    1,081.61/1,492.40 = 688.49/x
  3. Step 3: Cross multiply
    1,081.61x = 1,492.40 × 688.49
  4. Step 4: Simplify right side
    1,081.61x = 1,027,498.46
  5. Step 5: Solve for x
    x = 1,027,498.46/1,081.61
  6. Step 6: Final answer
    x = 949.97

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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.