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Finding the Fourth Proportional to 901.08, 1,352.16 and 614.88

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Solution

The fourth proportional to 901.08, 1,352.16 and 614.88 is: 922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,352.16 = 614.88 : x
  2. Step 2: Convert to fraction form
    901.08/1,352.16 = 614.88/x
  3. Step 3: Cross multiply
    901.08x = 1,352.16 × 614.88
  4. Step 4: Simplify right side
    901.08x = 831,416.14
  5. Step 5: Solve for x
    x = 831,416.14/901.08
  6. Step 6: Final answer
    x = 922.69

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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.