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Finding the Fourth Proportional to 1,263.24, 1,894.70 and 397.56

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Solution

The fourth proportional to 1,263.24, 1,894.70 and 397.56 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.24 : 1,894.70 = 397.56 : x
  2. Step 2: Convert to fraction form
    1,263.24/1,894.70 = 397.56/x
  3. Step 3: Cross multiply
    1,263.24x = 1,894.70 × 397.56
  4. Step 4: Simplify right side
    1,263.24x = 753,256.93
  5. Step 5: Solve for x
    x = 753,256.93/1,263.24
  6. Step 6: Final answer
    x = 596.29

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