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Finding the Fourth Proportional to 746.31, 1,118.64 and 499.67

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Solution

The fourth proportional to 746.31, 1,118.64 and 499.67 is: 748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.31 : 1,118.64 = 499.67 : x
  2. Step 2: Convert to fraction form
    746.31/1,118.64 = 499.67/x
  3. Step 3: Cross multiply
    746.31x = 1,118.64 × 499.67
  4. Step 4: Simplify right side
    746.31x = 558,947.11
  5. Step 5: Solve for x
    x = 558,947.11/746.31
  6. Step 6: Final answer
    x = 748.94

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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.