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Finding the Fourth Proportional to 1,052.30, 1,578.06 and 311.66

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Solution

The fourth proportional to 1,052.30, 1,578.06 and 311.66 is: 467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.30 : 1,578.06 = 311.66 : x
  2. Step 2: Convert to fraction form
    1,052.30/1,578.06 = 311.66/x
  3. Step 3: Cross multiply
    1,052.30x = 1,578.06 × 311.66
  4. Step 4: Simplify right side
    1,052.30x = 491,818.18
  5. Step 5: Solve for x
    x = 491,818.18/1,052.30
  6. Step 6: Final answer
    x = 467.37

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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.