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Finding the Fourth Proportional to 1,012.66, 1,519.59 and 396.43

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Solution

The fourth proportional to 1,012.66, 1,519.59 and 396.43 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.66 : 1,519.59 = 396.43 : x
  2. Step 2: Convert to fraction form
    1,012.66/1,519.59 = 396.43/x
  3. Step 3: Cross multiply
    1,012.66x = 1,519.59 × 396.43
  4. Step 4: Simplify right side
    1,012.66x = 602,411.06
  5. Step 5: Solve for x
    x = 602,411.06/1,012.66
  6. Step 6: Final answer
    x = 594.88

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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.