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Finding the Fourth Proportional to 901.84, 1,352.76 and 252.60

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Solution

The fourth proportional to 901.84, 1,352.76 and 252.60 is: 378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.84 : 1,352.76 = 252.60 : x
  2. Step 2: Convert to fraction form
    901.84/1,352.76 = 252.60/x
  3. Step 3: Cross multiply
    901.84x = 1,352.76 × 252.60
  4. Step 4: Simplify right side
    901.84x = 341,707.18
  5. Step 5: Solve for x
    x = 341,707.18/901.84
  6. Step 6: Final answer
    x = 378.90

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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.