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Finding the Fourth Proportional to 1,014.39, 1,519.56 and 465.82

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Solution

The fourth proportional to 1,014.39, 1,519.56 and 465.82 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.39 : 1,519.56 = 465.82 : x
  2. Step 2: Convert to fraction form
    1,014.39/1,519.56 = 465.82/x
  3. Step 3: Cross multiply
    1,014.39x = 1,519.56 × 465.82
  4. Step 4: Simplify right side
    1,014.39x = 707,837.64
  5. Step 5: Solve for x
    x = 707,837.64/1,014.39
  6. Step 6: Final answer
    x = 697.80

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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.