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Finding the Fourth Proportional to 977.92, 1,467.42 and 400.75

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Solution

The fourth proportional to 977.92, 1,467.42 and 400.75 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,467.42 = 400.75 : x
  2. Step 2: Convert to fraction form
    977.92/1,467.42 = 400.75/x
  3. Step 3: Cross multiply
    977.92x = 1,467.42 × 400.75
  4. Step 4: Simplify right side
    977.92x = 588,068.57
  5. Step 5: Solve for x
    x = 588,068.57/977.92
  6. Step 6: Final answer
    x = 601.35

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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.