Home / 1,488.11-2,053.62-824.99

Finding the Fourth Proportional to 1,488.11, 2,053.62 and 824.99

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Solution

The fourth proportional to 1,488.11, 2,053.62 and 824.99 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.11 : 2,053.62 = 824.99 : x
  2. Step 2: Convert to fraction form
    1,488.11/2,053.62 = 824.99/x
  3. Step 3: Cross multiply
    1,488.11x = 2,053.62 × 824.99
  4. Step 4: Simplify right side
    1,488.11x = 1,694,205.70
  5. Step 5: Solve for x
    x = 1,694,205.70/1,488.11
  6. Step 6: Final answer
    x = 1,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.