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Finding the Fourth Proportional to 1,228.03, 1,841.97 and 497.41

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Solution

The fourth proportional to 1,228.03, 1,841.97 and 497.41 is: 746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.03 : 1,841.97 = 497.41 : x
  2. Step 2: Convert to fraction form
    1,228.03/1,841.97 = 497.41/x
  3. Step 3: Cross multiply
    1,228.03x = 1,841.97 × 497.41
  4. Step 4: Simplify right side
    1,228.03x = 916,211.56
  5. Step 5: Solve for x
    x = 916,211.56/1,228.03
  6. Step 6: Final answer
    x = 746.08

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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.