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Finding the Fourth Proportional to 1,488, 2,053.44 and 824.95

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Solution

The fourth proportional to 1,488, 2,053.44 and 824.95 is: 1,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488 : 2,053.44 = 824.95 : x
  2. Step 2: Convert to fraction form
    1,488/2,053.44 = 824.95/x
  3. Step 3: Cross multiply
    1,488x = 2,053.44 × 824.95
  4. Step 4: Simplify right side
    1,488x = 1,693,991.75
  5. Step 5: Solve for x
    x = 1,693,991.75/1,488
  6. Step 6: Final answer
    x = 1,138.44

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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.