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Finding the Fourth Proportional to 1,011.12, 1,515.76 and 394.44

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Solution

The fourth proportional to 1,011.12, 1,515.76 and 394.44 is: 591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.12 : 1,515.76 = 394.44 : x
  2. Step 2: Convert to fraction form
    1,011.12/1,515.76 = 394.44/x
  3. Step 3: Cross multiply
    1,011.12x = 1,515.76 × 394.44
  4. Step 4: Simplify right side
    1,011.12x = 597,876.37
  5. Step 5: Solve for x
    x = 597,876.37/1,011.12
  6. Step 6: Final answer
    x = 591.30

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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.