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Finding the Fourth Proportional to 1,049.87, 1,575.04 and 319.51

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Solution

The fourth proportional to 1,049.87, 1,575.04 and 319.51 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.87 : 1,575.04 = 319.51 : x
  2. Step 2: Convert to fraction form
    1,049.87/1,575.04 = 319.51/x
  3. Step 3: Cross multiply
    1,049.87x = 1,575.04 × 319.51
  4. Step 4: Simplify right side
    1,049.87x = 503,236.29
  5. Step 5: Solve for x
    x = 503,236.29/1,049.87
  6. Step 6: Final answer
    x = 479.33

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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.