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Finding the Fourth Proportional to 981.78, 1,471.86 and 405.06

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Solution

The fourth proportional to 981.78, 1,471.86 and 405.06 is: 607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.78 : 1,471.86 = 405.06 : x
  2. Step 2: Convert to fraction form
    981.78/1,471.86 = 405.06/x
  3. Step 3: Cross multiply
    981.78x = 1,471.86 × 405.06
  4. Step 4: Simplify right side
    981.78x = 596,191.61
  5. Step 5: Solve for x
    x = 596,191.61/981.78
  6. Step 6: Final answer
    x = 607.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.