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Finding the Fourth Proportional to 733.86, 1,099.94 and 460.02

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Solution

The fourth proportional to 733.86, 1,099.94 and 460.02 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,099.94 = 460.02 : x
  2. Step 2: Convert to fraction form
    733.86/1,099.94 = 460.02/x
  3. Step 3: Cross multiply
    733.86x = 1,099.94 × 460.02
  4. Step 4: Simplify right side
    733.86x = 505,994.40
  5. Step 5: Solve for x
    x = 505,994.40/733.86
  6. Step 6: Final answer
    x = 689.50

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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.