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Finding the Fourth Proportional to 732.63, 1,098.26 and 293.77

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Solution

The fourth proportional to 732.63, 1,098.26 and 293.77 is: 440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.63 : 1,098.26 = 293.77 : x
  2. Step 2: Convert to fraction form
    732.63/1,098.26 = 293.77/x
  3. Step 3: Cross multiply
    732.63x = 1,098.26 × 293.77
  4. Step 4: Simplify right side
    732.63x = 322,630.35
  5. Step 5: Solve for x
    x = 322,630.35/732.63
  6. Step 6: Final answer
    x = 440.37

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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.