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Finding the Fourth Proportional to 901.50, 1,352.97 and 559.50

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Solution

The fourth proportional to 901.50, 1,352.97 and 559.50 is: 839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.50 : 1,352.97 = 559.50 : x
  2. Step 2: Convert to fraction form
    901.50/1,352.97 = 559.50/x
  3. Step 3: Cross multiply
    901.50x = 1,352.97 × 559.50
  4. Step 4: Simplify right side
    901.50x = 756,986.72
  5. Step 5: Solve for x
    x = 756,986.72/901.50
  6. Step 6: Final answer
    x = 839.70

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Why These Related Problems?

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