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Finding the Fourth Proportional to 742.96, 1,026.10 and 495.32

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Solution

The fourth proportional to 742.96, 1,026.10 and 495.32 is: 684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,026.10 = 495.32 : x
  2. Step 2: Convert to fraction form
    742.96/1,026.10 = 495.32/x
  3. Step 3: Cross multiply
    742.96x = 1,026.10 × 495.32
  4. Step 4: Simplify right side
    742.96x = 508,247.85
  5. Step 5: Solve for x
    x = 508,247.85/742.96
  6. Step 6: Final answer
    x = 684.09

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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.