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Finding the Fourth Proportional to 1,263.43, 1,894.79 and 493.75

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Solution

The fourth proportional to 1,263.43, 1,894.79 and 493.75 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.43 : 1,894.79 = 493.75 : x
  2. Step 2: Convert to fraction form
    1,263.43/1,894.79 = 493.75/x
  3. Step 3: Cross multiply
    1,263.43x = 1,894.79 × 493.75
  4. Step 4: Simplify right side
    1,263.43x = 935,550.09
  5. Step 5: Solve for x
    x = 935,550.09/1,263.43
  6. Step 6: Final answer
    x = 740.48

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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.