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Finding the Fourth Proportional to 733.30, 1,012.35 and 498.50

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Solution

The fourth proportional to 733.30, 1,012.35 and 498.50 is: 688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,012.35 = 498.50 : x
  2. Step 2: Convert to fraction form
    733.30/1,012.35 = 498.50/x
  3. Step 3: Cross multiply
    733.30x = 1,012.35 × 498.50
  4. Step 4: Simplify right side
    733.30x = 504,659.97
  5. Step 5: Solve for x
    x = 504,659.97/733.30
  6. Step 6: Final answer
    x = 688.20

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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.