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Finding the Fourth Proportional to 1,484.89, 2,226.59 and 497.36

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Solution

The fourth proportional to 1,484.89, 2,226.59 and 497.36 is: 745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.89 : 2,226.59 = 497.36 : x
  2. Step 2: Convert to fraction form
    1,484.89/2,226.59 = 497.36/x
  3. Step 3: Cross multiply
    1,484.89x = 2,226.59 × 497.36
  4. Step 4: Simplify right side
    1,484.89x = 1,107,416.80
  5. Step 5: Solve for x
    x = 1,107,416.80/1,484.89
  6. Step 6: Final answer
    x = 745.79

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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.