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Finding the Fourth Proportional to 767.40, 1,056.33 and 687.44

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Solution

The fourth proportional to 767.40, 1,056.33 and 687.44 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,056.33 = 687.44 : x
  2. Step 2: Convert to fraction form
    767.40/1,056.33 = 687.44/x
  3. Step 3: Cross multiply
    767.40x = 1,056.33 × 687.44
  4. Step 4: Simplify right side
    767.40x = 726,158.21
  5. Step 5: Solve for x
    x = 726,158.21/767.40
  6. Step 6: Final answer
    x = 946.26

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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.