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Finding the Fourth Proportional to 794.16, 1,095.75 and 462.60

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Solution

The fourth proportional to 794.16, 1,095.75 and 462.60 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,095.75 = 462.60 : x
  2. Step 2: Convert to fraction form
    794.16/1,095.75 = 462.60/x
  3. Step 3: Cross multiply
    794.16x = 1,095.75 × 462.60
  4. Step 4: Simplify right side
    794.16x = 506,893.95
  5. Step 5: Solve for x
    x = 506,893.95/794.16
  6. Step 6: Final answer
    x = 638.28

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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.