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Finding the Fourth Proportional to 946.40, 1,306.28 and 847.99

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Solution

The fourth proportional to 946.40, 1,306.28 and 847.99 is: 1,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.40 : 1,306.28 = 847.99 : x
  2. Step 2: Convert to fraction form
    946.40/1,306.28 = 847.99/x
  3. Step 3: Cross multiply
    946.40x = 1,306.28 × 847.99
  4. Step 4: Simplify right side
    946.40x = 1,107,701.61
  5. Step 5: Solve for x
    x = 1,107,701.61/946.40
  6. Step 6: Final answer
    x = 1,170.44

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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.