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Finding the Fourth Proportional to 1,263.40, 1,894.79 and 397.71

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Solution

The fourth proportional to 1,263.40, 1,894.79 and 397.71 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.40 : 1,894.79 = 397.71 : x
  2. Step 2: Convert to fraction form
    1,263.40/1,894.79 = 397.71/x
  3. Step 3: Cross multiply
    1,263.40x = 1,894.79 × 397.71
  4. Step 4: Simplify right side
    1,263.40x = 753,577.93
  5. Step 5: Solve for x
    x = 753,577.93/1,263.40
  6. Step 6: Final answer
    x = 596.47

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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.