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Finding the Fourth Proportional to 733.96, 1,098.60 and 460.36

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Solution

The fourth proportional to 733.96, 1,098.60 and 460.36 is: 689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.96 : 1,098.60 = 460.36 : x
  2. Step 2: Convert to fraction form
    733.96/1,098.60 = 460.36/x
  3. Step 3: Cross multiply
    733.96x = 1,098.60 × 460.36
  4. Step 4: Simplify right side
    733.96x = 505,751.50
  5. Step 5: Solve for x
    x = 505,751.50/733.96
  6. Step 6: Final answer
    x = 689.07

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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.