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Finding the Fourth Proportional to 1,454.74, 2,007.09 and 833.62

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Solution

The fourth proportional to 1,454.74, 2,007.09 and 833.62 is: 1,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.74 : 2,007.09 = 833.62 : x
  2. Step 2: Convert to fraction form
    1,454.74/2,007.09 = 833.62/x
  3. Step 3: Cross multiply
    1,454.74x = 2,007.09 × 833.62
  4. Step 4: Simplify right side
    1,454.74x = 1,673,150.37
  5. Step 5: Solve for x
    x = 1,673,150.37/1,454.74
  6. Step 6: Final answer
    x = 1,150.14

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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.