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Finding the Fourth Proportional to 901.19, 1,243.38 and 565.37

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Solution

The fourth proportional to 901.19, 1,243.38 and 565.37 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.19 : 1,243.38 = 565.37 : x
  2. Step 2: Convert to fraction form
    901.19/1,243.38 = 565.37/x
  3. Step 3: Cross multiply
    901.19x = 1,243.38 × 565.37
  4. Step 4: Simplify right side
    901.19x = 702,969.75
  5. Step 5: Solve for x
    x = 702,969.75/901.19
  6. Step 6: Final answer
    x = 780.05

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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.