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Finding the Fourth Proportional to 967.87, 1,337.39 and 772.93

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Solution

The fourth proportional to 967.87, 1,337.39 and 772.93 is: 1,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.87 : 1,337.39 = 772.93 : x
  2. Step 2: Convert to fraction form
    967.87/1,337.39 = 772.93/x
  3. Step 3: Cross multiply
    967.87x = 1,337.39 × 772.93
  4. Step 4: Simplify right side
    967.87x = 1,033,708.85
  5. Step 5: Solve for x
    x = 1,033,708.85/967.87
  6. Step 6: Final answer
    x = 1,068.02

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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.