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Finding the Fourth Proportional to 981.88, 1,355.54 and 650.56

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Solution

The fourth proportional to 981.88, 1,355.54 and 650.56 is: 898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.88 : 1,355.54 = 650.56 : x
  2. Step 2: Convert to fraction form
    981.88/1,355.54 = 650.56/x
  3. Step 3: Cross multiply
    981.88x = 1,355.54 × 650.56
  4. Step 4: Simplify right side
    981.88x = 881,860.10
  5. Step 5: Solve for x
    x = 881,860.10/981.88
  6. Step 6: Final answer
    x = 898.13

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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.