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Finding the Fourth Proportional to 1,314.07, 1,966.85 and 967.33

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Solution

The fourth proportional to 1,314.07, 1,966.85 and 967.33 is: 1,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.07 : 1,966.85 = 967.33 : x
  2. Step 2: Convert to fraction form
    1,314.07/1,966.85 = 967.33/x
  3. Step 3: Cross multiply
    1,314.07x = 1,966.85 × 967.33
  4. Step 4: Simplify right side
    1,314.07x = 1,902,595.43
  5. Step 5: Solve for x
    x = 1,902,595.43/1,314.07
  6. Step 6: Final answer
    x = 1,447.86

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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.