Home / 1,124.20-1,685.61-465.88

Finding the Fourth Proportional to 1,124.20, 1,685.61 and 465.88

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Solution

The fourth proportional to 1,124.20, 1,685.61 and 465.88 is: 698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.20 : 1,685.61 = 465.88 : x
  2. Step 2: Convert to fraction form
    1,124.20/1,685.61 = 465.88/x
  3. Step 3: Cross multiply
    1,124.20x = 1,685.61 × 465.88
  4. Step 4: Simplify right side
    1,124.20x = 785,291.99
  5. Step 5: Solve for x
    x = 785,291.99/1,124.20
  6. Step 6: Final answer
    x = 698.53

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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.