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Finding the Fourth Proportional to 981.71, 1,355.00 and 749.15

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Solution

The fourth proportional to 981.71, 1,355.00 and 749.15 is: 1,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.71 : 1,355.00 = 749.15 : x
  2. Step 2: Convert to fraction form
    981.71/1,355.00 = 749.15/x
  3. Step 3: Cross multiply
    981.71x = 1,355.00 × 749.15
  4. Step 4: Simplify right side
    981.71x = 1,015,094.50
  5. Step 5: Solve for x
    x = 1,015,094.50/981.71
  6. Step 6: Final answer
    x = 1,034.01

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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.