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Finding the Fourth Proportional to 1,228.33, 1,841.98 and 497.71

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Solution

The fourth proportional to 1,228.33, 1,841.98 and 497.71 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.33 : 1,841.98 = 497.71 : x
  2. Step 2: Convert to fraction form
    1,228.33/1,841.98 = 497.71/x
  3. Step 3: Cross multiply
    1,228.33x = 1,841.98 × 497.71
  4. Step 4: Simplify right side
    1,228.33x = 916,771.87
  5. Step 5: Solve for x
    x = 916,771.87/1,228.33
  6. Step 6: Final answer
    x = 746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.