Home / 1,283.20-1,924.53-461.52

Finding the Fourth Proportional to 1,283.20, 1,924.53 and 461.52

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Solution

The fourth proportional to 1,283.20, 1,924.53 and 461.52 is: 692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,924.53 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,924.53 = 461.52/x
  3. Step 3: Cross multiply
    1,283.20x = 1,924.53 × 461.52
  4. Step 4: Simplify right side
    1,283.20x = 888,209.09
  5. Step 5: Solve for x
    x = 888,209.09/1,283.20
  6. Step 6: Final answer
    x = 692.18

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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.