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Finding the Fourth Proportional to 1,012.86, 1,519.80 and 464.97

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Solution

The fourth proportional to 1,012.86, 1,519.80 and 464.97 is: 697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.86 : 1,519.80 = 464.97 : x
  2. Step 2: Convert to fraction form
    1,012.86/1,519.80 = 464.97/x
  3. Step 3: Cross multiply
    1,012.86x = 1,519.80 × 464.97
  4. Step 4: Simplify right side
    1,012.86x = 706,661.41
  5. Step 5: Solve for x
    x = 706,661.41/1,012.86
  6. Step 6: Final answer
    x = 697.69

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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.