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Finding the Fourth Proportional to 977.14, 1,465.92 and 327.86

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Solution

The fourth proportional to 977.14, 1,465.92 and 327.86 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.14 : 1,465.92 = 327.86 : x
  2. Step 2: Convert to fraction form
    977.14/1,465.92 = 327.86/x
  3. Step 3: Cross multiply
    977.14x = 1,465.92 × 327.86
  4. Step 4: Simplify right side
    977.14x = 480,609.20
  5. Step 5: Solve for x
    x = 480,609.20/977.14
  6. Step 6: Final answer
    x = 491.85

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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.