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Finding the Fourth Proportional to 749.65, 1,118.75 and 667.64

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Solution

The fourth proportional to 749.65, 1,118.75 and 667.64 is: 996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,118.75 = 667.64 : x
  2. Step 2: Convert to fraction form
    749.65/1,118.75 = 667.64/x
  3. Step 3: Cross multiply
    749.65x = 1,118.75 × 667.64
  4. Step 4: Simplify right side
    749.65x = 746,916.66
  5. Step 5: Solve for x
    x = 746,916.66/749.65
  6. Step 6: Final answer
    x = 996.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.