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Finding the Fourth Proportional to 981.04, 1,353.83 and 532.91

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Solution

The fourth proportional to 981.04, 1,353.83 and 532.91 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,353.83 = 532.91 : x
  2. Step 2: Convert to fraction form
    981.04/1,353.83 = 532.91/x
  3. Step 3: Cross multiply
    981.04x = 1,353.83 × 532.91
  4. Step 4: Simplify right side
    981.04x = 721,471.45
  5. Step 5: Solve for x
    x = 721,471.45/981.04
  6. Step 6: Final answer
    x = 735.41

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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.