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Finding the Fourth Proportional to 1,274.24, 1,910.58 and 493.61

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Solution

The fourth proportional to 1,274.24, 1,910.58 and 493.61 is: 740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.24 : 1,910.58 = 493.61 : x
  2. Step 2: Convert to fraction form
    1,274.24/1,910.58 = 493.61/x
  3. Step 3: Cross multiply
    1,274.24x = 1,910.58 × 493.61
  4. Step 4: Simplify right side
    1,274.24x = 943,071.84
  5. Step 5: Solve for x
    x = 943,071.84/1,274.24
  6. Step 6: Final answer
    x = 740.11

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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.