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Finding the Fourth Proportional to 1,498.74, 2,249.12 and 524.85

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Solution

The fourth proportional to 1,498.74, 2,249.12 and 524.85 is: 787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.74 : 2,249.12 = 524.85 : x
  2. Step 2: Convert to fraction form
    1,498.74/2,249.12 = 524.85/x
  3. Step 3: Cross multiply
    1,498.74x = 2,249.12 × 524.85
  4. Step 4: Simplify right side
    1,498.74x = 1,180,450.63
  5. Step 5: Solve for x
    x = 1,180,450.63/1,498.74
  6. Step 6: Final answer
    x = 787.63

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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.