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Finding the Fourth Proportional to 732.81, 1,010.93 and 422.13

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Solution

The fourth proportional to 732.81, 1,010.93 and 422.13 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.81 : 1,010.93 = 422.13 : x
  2. Step 2: Convert to fraction form
    732.81/1,010.93 = 422.13/x
  3. Step 3: Cross multiply
    732.81x = 1,010.93 × 422.13
  4. Step 4: Simplify right side
    732.81x = 426,743.88
  5. Step 5: Solve for x
    x = 426,743.88/732.81
  6. Step 6: Final answer
    x = 582.34

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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.