Home / 1,074.24-1,611.14-424.82

Finding the Fourth Proportional to 1,074.24, 1,611.14 and 424.82

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Solution

The fourth proportional to 1,074.24, 1,611.14 and 424.82 is: 637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.24 : 1,611.14 = 424.82 : x
  2. Step 2: Convert to fraction form
    1,074.24/1,611.14 = 424.82/x
  3. Step 3: Cross multiply
    1,074.24x = 1,611.14 × 424.82
  4. Step 4: Simplify right side
    1,074.24x = 684,444.49
  5. Step 5: Solve for x
    x = 684,444.49/1,074.24
  6. Step 6: Final answer
    x = 637.14

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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.