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Finding the Fourth Proportional to 1,436.71, 2,153.28 and 614.02

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Solution

The fourth proportional to 1,436.71, 2,153.28 and 614.02 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.71 : 2,153.28 = 614.02 : x
  2. Step 2: Convert to fraction form
    1,436.71/2,153.28 = 614.02/x
  3. Step 3: Cross multiply
    1,436.71x = 2,153.28 × 614.02
  4. Step 4: Simplify right side
    1,436.71x = 1,322,156.99
  5. Step 5: Solve for x
    x = 1,322,156.99/1,436.71
  6. Step 6: Final answer
    x = 920.27

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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.