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Finding the Fourth Proportional to 1,013.74, 1,519.43 and 465.98

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Solution

The fourth proportional to 1,013.74, 1,519.43 and 465.98 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.74 : 1,519.43 = 465.98 : x
  2. Step 2: Convert to fraction form
    1,013.74/1,519.43 = 465.98/x
  3. Step 3: Cross multiply
    1,013.74x = 1,519.43 × 465.98
  4. Step 4: Simplify right side
    1,013.74x = 708,014.06
  5. Step 5: Solve for x
    x = 708,014.06/1,013.74
  6. Step 6: Final answer
    x = 698.42

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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.