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Finding the Fourth Proportional to 946.22, 1,306.14 and 699.53

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Solution

The fourth proportional to 946.22, 1,306.14 and 699.53 is: 965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.22 : 1,306.14 = 699.53 : x
  2. Step 2: Convert to fraction form
    946.22/1,306.14 = 699.53/x
  3. Step 3: Cross multiply
    946.22x = 1,306.14 × 699.53
  4. Step 4: Simplify right side
    946.22x = 913,677.58
  5. Step 5: Solve for x
    x = 913,677.58/946.22
  6. Step 6: Final answer
    x = 965.61

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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.