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Finding the Fourth Proportional to 1,225.08, 1,838.02 and 494.46

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Solution

The fourth proportional to 1,225.08, 1,838.02 and 494.46 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.08 : 1,838.02 = 494.46 : x
  2. Step 2: Convert to fraction form
    1,225.08/1,838.02 = 494.46/x
  3. Step 3: Cross multiply
    1,225.08x = 1,838.02 × 494.46
  4. Step 4: Simplify right side
    1,225.08x = 908,827.37
  5. Step 5: Solve for x
    x = 908,827.37/1,225.08
  6. Step 6: Final answer
    x = 741.85

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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.