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Finding the Fourth Proportional to 1,249.64, 1,874.16 and 469.42

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Solution

The fourth proportional to 1,249.64, 1,874.16 and 469.42 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.64 : 1,874.16 = 469.42 : x
  2. Step 2: Convert to fraction form
    1,249.64/1,874.16 = 469.42/x
  3. Step 3: Cross multiply
    1,249.64x = 1,874.16 × 469.42
  4. Step 4: Simplify right side
    1,249.64x = 879,768.19
  5. Step 5: Solve for x
    x = 879,768.19/1,249.64
  6. Step 6: Final answer
    x = 704.02

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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.