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Finding the Fourth Proportional to 977.13, 1,465.83 and 327.78

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Solution

The fourth proportional to 977.13, 1,465.83 and 327.78 is: 491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,465.83 = 327.78 : x
  2. Step 2: Convert to fraction form
    977.13/1,465.83 = 327.78/x
  3. Step 3: Cross multiply
    977.13x = 1,465.83 × 327.78
  4. Step 4: Simplify right side
    977.13x = 480,469.76
  5. Step 5: Solve for x
    x = 480,469.76/977.13
  6. Step 6: Final answer
    x = 491.72

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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.