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Finding the Fourth Proportional to 1,225.24, 1,838.76 and 494.86

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Solution

The fourth proportional to 1,225.24, 1,838.76 and 494.86 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.24 : 1,838.76 = 494.86 : x
  2. Step 2: Convert to fraction form
    1,225.24/1,838.76 = 494.86/x
  3. Step 3: Cross multiply
    1,225.24x = 1,838.76 × 494.86
  4. Step 4: Simplify right side
    1,225.24x = 909,928.77
  5. Step 5: Solve for x
    x = 909,928.77/1,225.24
  6. Step 6: Final answer
    x = 742.65

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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.