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Finding the Fourth Proportional to 1,013.41, 1,519.66 and 465.75

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Solution

The fourth proportional to 1,013.41, 1,519.66 and 465.75 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.41 : 1,519.66 = 465.75 : x
  2. Step 2: Convert to fraction form
    1,013.41/1,519.66 = 465.75/x
  3. Step 3: Cross multiply
    1,013.41x = 1,519.66 × 465.75
  4. Step 4: Simplify right side
    1,013.41x = 707,782.23
  5. Step 5: Solve for x
    x = 707,782.23/1,013.41
  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.