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Finding the Fourth Proportional to 981.74, 1,473.34 and 405.02

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Solution

The fourth proportional to 981.74, 1,473.34 and 405.02 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.74 : 1,473.34 = 405.02 : x
  2. Step 2: Convert to fraction form
    981.74/1,473.34 = 405.02/x
  3. Step 3: Cross multiply
    981.74x = 1,473.34 × 405.02
  4. Step 4: Simplify right side
    981.74x = 596,732.17
  5. Step 5: Solve for x
    x = 596,732.17/981.74
  6. Step 6: Final answer
    x = 607.83

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Why These Related Problems?

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