Home / 1,014.14-1,519.18-465.57

Finding the Fourth Proportional to 1,014.14, 1,519.18 and 465.57

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Solution

The fourth proportional to 1,014.14, 1,519.18 and 465.57 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.14 : 1,519.18 = 465.57 : x
  2. Step 2: Convert to fraction form
    1,014.14/1,519.18 = 465.57/x
  3. Step 3: Cross multiply
    1,014.14x = 1,519.18 × 465.57
  4. Step 4: Simplify right side
    1,014.14x = 707,284.63
  5. Step 5: Solve for x
    x = 707,284.63/1,014.14
  6. Step 6: Final answer
    x = 697.42

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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.