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Finding the Fourth Proportional to 794.97, 1,195.20 and 430.47

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Solution

The fourth proportional to 794.97, 1,195.20 and 430.47 is: 647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.97 : 1,195.20 = 430.47 : x
  2. Step 2: Convert to fraction form
    794.97/1,195.20 = 430.47/x
  3. Step 3: Cross multiply
    794.97x = 1,195.20 × 430.47
  4. Step 4: Simplify right side
    794.97x = 514,497.74
  5. Step 5: Solve for x
    x = 514,497.74/794.97
  6. Step 6: Final answer
    x = 647.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.