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Finding the Fourth Proportional to 1,012.32, 1,517.51 and 318.51

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Solution

The fourth proportional to 1,012.32, 1,517.51 and 318.51 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,517.51 = 318.51 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,517.51 = 318.51/x
  3. Step 3: Cross multiply
    1,012.32x = 1,517.51 × 318.51
  4. Step 4: Simplify right side
    1,012.32x = 483,342.91
  5. Step 5: Solve for x
    x = 483,342.91/1,012.32
  6. Step 6: Final answer
    x = 477.46

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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.