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Finding the Fourth Proportional to 1,496.98, 2,065.87 and 824.82

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Solution

The fourth proportional to 1,496.98, 2,065.87 and 824.82 is: 1,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.98 : 2,065.87 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,496.98/2,065.87 = 824.82/x
  3. Step 3: Cross multiply
    1,496.98x = 2,065.87 × 824.82
  4. Step 4: Simplify right side
    1,496.98x = 1,703,964.18
  5. Step 5: Solve for x
    x = 1,703,964.18/1,496.98
  6. Step 6: Final answer
    x = 1,138.27

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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.