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Finding the Fourth Proportional to 1,263.11, 1,894.93 and 614.21

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Solution

The fourth proportional to 1,263.11, 1,894.93 and 614.21 is: 921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.11 : 1,894.93 = 614.21 : x
  2. Step 2: Convert to fraction form
    1,263.11/1,894.93 = 614.21/x
  3. Step 3: Cross multiply
    1,263.11x = 1,894.93 × 614.21
  4. Step 4: Simplify right side
    1,263.11x = 1,163,873.95
  5. Step 5: Solve for x
    x = 1,163,873.95/1,263.11
  6. Step 6: Final answer
    x = 921.44

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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.