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Finding the Fourth Proportional to 977.29, 1,468.95 and 654.73

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Solution

The fourth proportional to 977.29, 1,468.95 and 654.73 is: 984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.29 : 1,468.95 = 654.73 : x
  2. Step 2: Convert to fraction form
    977.29/1,468.95 = 654.73/x
  3. Step 3: Cross multiply
    977.29x = 1,468.95 × 654.73
  4. Step 4: Simplify right side
    977.29x = 961,765.63
  5. Step 5: Solve for x
    x = 961,765.63/977.29
  6. Step 6: Final answer
    x = 984.11

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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.