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Finding the Fourth Proportional to 794.06, 1,095.60 and 462.30

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Solution

The fourth proportional to 794.06, 1,095.60 and 462.30 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.06 : 1,095.60 = 462.30 : x
  2. Step 2: Convert to fraction form
    794.06/1,095.60 = 462.30/x
  3. Step 3: Cross multiply
    794.06x = 1,095.60 × 462.30
  4. Step 4: Simplify right side
    794.06x = 506,495.88
  5. Step 5: Solve for x
    x = 506,495.88/794.06
  6. Step 6: Final answer
    x = 637.86

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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.