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Finding the Fourth Proportional to 732.48, 1,099.14 and 293.64

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Solution

The fourth proportional to 732.48, 1,099.14 and 293.64 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.48 : 1,099.14 = 293.64 : x
  2. Step 2: Convert to fraction form
    732.48/1,099.14 = 293.64/x
  3. Step 3: Cross multiply
    732.48x = 1,099.14 × 293.64
  4. Step 4: Simplify right side
    732.48x = 322,751.47
  5. Step 5: Solve for x
    x = 322,751.47/732.48
  6. Step 6: Final answer
    x = 440.63

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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.