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Finding the Fourth Proportional to 981.81, 1,473.62 and 462.11

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Solution

The fourth proportional to 981.81, 1,473.62 and 462.11 is: 693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.81 : 1,473.62 = 462.11 : x
  2. Step 2: Convert to fraction form
    981.81/1,473.62 = 462.11/x
  3. Step 3: Cross multiply
    981.81x = 1,473.62 × 462.11
  4. Step 4: Simplify right side
    981.81x = 680,964.86
  5. Step 5: Solve for x
    x = 680,964.86/981.81
  6. Step 6: Final answer
    x = 693.58

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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.