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Finding the Fourth Proportional to 934.92, 1,401.39 and 472.77

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Solution

The fourth proportional to 934.92, 1,401.39 and 472.77 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.92 : 1,401.39 = 472.77 : x
  2. Step 2: Convert to fraction form
    934.92/1,401.39 = 472.77/x
  3. Step 3: Cross multiply
    934.92x = 1,401.39 × 472.77
  4. Step 4: Simplify right side
    934.92x = 662,535.15
  5. Step 5: Solve for x
    x = 662,535.15/934.92
  6. Step 6: Final answer
    x = 708.65

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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.