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Finding the Fourth Proportional to 794.28, 1,095.75 and 462.52

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Solution

The fourth proportional to 794.28, 1,095.75 and 462.52 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.28 : 1,095.75 = 462.52 : x
  2. Step 2: Convert to fraction form
    794.28/1,095.75 = 462.52/x
  3. Step 3: Cross multiply
    794.28x = 1,095.75 × 462.52
  4. Step 4: Simplify right side
    794.28x = 506,801.50
  5. Step 5: Solve for x
    x = 506,801.50/794.28
  6. Step 6: Final answer
    x = 638.06

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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.