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Finding the Fourth Proportional to 794.24, 1,095.61 and 462.63

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Solution

The fourth proportional to 794.24, 1,095.61 and 462.63 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,095.61 = 462.63 : x
  2. Step 2: Convert to fraction form
    794.24/1,095.61 = 462.63/x
  3. Step 3: Cross multiply
    794.24x = 1,095.61 × 462.63
  4. Step 4: Simplify right side
    794.24x = 506,862.05
  5. Step 5: Solve for x
    x = 506,862.05/794.24
  6. Step 6: Final answer
    x = 638.17

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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.