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Finding the Fourth Proportional to 961.32, 1,325.94 and 946.92

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Solution

The fourth proportional to 961.32, 1,325.94 and 946.92 is: 1,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.32 : 1,325.94 = 946.92 : x
  2. Step 2: Convert to fraction form
    961.32/1,325.94 = 946.92/x
  3. Step 3: Cross multiply
    961.32x = 1,325.94 × 946.92
  4. Step 4: Simplify right side
    961.32x = 1,255,559.10
  5. Step 5: Solve for x
    x = 1,255,559.10/961.32
  6. Step 6: Final answer
    x = 1,306.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.