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Finding the Fourth Proportional to 794, 1,095.76 and 462.40

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Solution

The fourth proportional to 794, 1,095.76 and 462.40 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794 : 1,095.76 = 462.40 : x
  2. Step 2: Convert to fraction form
    794/1,095.76 = 462.40/x
  3. Step 3: Cross multiply
    794x = 1,095.76 × 462.40
  4. Step 4: Simplify right side
    794x = 506,679.42
  5. Step 5: Solve for x
    x = 506,679.42/794
  6. Step 6: Final answer
    x = 638.14

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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.