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Finding the Fourth Proportional to 1,249.69, 1,874.81 and 469.70

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Solution

The fourth proportional to 1,249.69, 1,874.81 and 469.70 is: 704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.69 : 1,874.81 = 469.70 : x
  2. Step 2: Convert to fraction form
    1,249.69/1,874.81 = 469.70/x
  3. Step 3: Cross multiply
    1,249.69x = 1,874.81 × 469.70
  4. Step 4: Simplify right side
    1,249.69x = 880,600.60
  5. Step 5: Solve for x
    x = 880,600.60/1,249.69
  6. Step 6: Final answer
    x = 704.65

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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.