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Finding the Fourth Proportional to 938.05, 1,295.02 and 565.12

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Solution

The fourth proportional to 938.05, 1,295.02 and 565.12 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,295.02 = 565.12 : x
  2. Step 2: Convert to fraction form
    938.05/1,295.02 = 565.12/x
  3. Step 3: Cross multiply
    938.05x = 1,295.02 × 565.12
  4. Step 4: Simplify right side
    938.05x = 731,837.05
  5. Step 5: Solve for x
    x = 731,837.05/938.05
  6. Step 6: Final answer
    x = 780.17

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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.