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Finding the Fourth Proportional to 794.03, 1,095.77 and 462.65

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Solution

The fourth proportional to 794.03, 1,095.77 and 462.65 is: 638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.03 : 1,095.77 = 462.65 : x
  2. Step 2: Convert to fraction form
    794.03/1,095.77 = 462.65/x
  3. Step 3: Cross multiply
    794.03x = 1,095.77 × 462.65
  4. Step 4: Simplify right side
    794.03x = 506,950.20
  5. Step 5: Solve for x
    x = 506,950.20/794.03
  6. Step 6: Final answer
    x = 638.46

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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.