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Finding the Fourth Proportional to 1,454.44, 2,007.01 and 824.98

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Solution

The fourth proportional to 1,454.44, 2,007.01 and 824.98 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.44 : 2,007.01 = 824.98 : x
  2. Step 2: Convert to fraction form
    1,454.44/2,007.01 = 824.98/x
  3. Step 3: Cross multiply
    1,454.44x = 2,007.01 × 824.98
  4. Step 4: Simplify right side
    1,454.44x = 1,655,743.11
  5. Step 5: Solve for x
    x = 1,655,743.11/1,454.44
  6. Step 6: Final answer
    x = 1,138.41

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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.