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Finding the Fourth Proportional to 795, 1,191.54 and 502.44

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Solution

The fourth proportional to 795, 1,191.54 and 502.44 is: 753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    795 : 1,191.54 = 502.44 : x
  2. Step 2: Convert to fraction form
    795/1,191.54 = 502.44/x
  3. Step 3: Cross multiply
    795x = 1,191.54 × 502.44
  4. Step 4: Simplify right side
    795x = 598,677.36
  5. Step 5: Solve for x
    x = 598,677.36/795
  6. Step 6: Final answer
    x = 753.05

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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.