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Finding the Fourth Proportional to 966.75, 1,437.69 and 936

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Solution

The fourth proportional to 966.75, 1,437.69 and 936 is: 1,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.75 : 1,437.69 = 936 : x
  2. Step 2: Convert to fraction form
    966.75/1,437.69 = 936/x
  3. Step 3: Cross multiply
    966.75x = 1,437.69 × 936
  4. Step 4: Simplify right side
    966.75x = 1,345,677.84
  5. Step 5: Solve for x
    x = 1,345,677.84/966.75
  6. Step 6: Final answer
    x = 1,391.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.