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Finding the Fourth Proportional to 1,497.04, 2,065.82 and 833.87

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Solution

The fourth proportional to 1,497.04, 2,065.82 and 833.87 is: 1,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.04 : 2,065.82 = 833.87 : x
  2. Step 2: Convert to fraction form
    1,497.04/2,065.82 = 833.87/x
  3. Step 3: Cross multiply
    1,497.04x = 2,065.82 × 833.87
  4. Step 4: Simplify right side
    1,497.04x = 1,722,626.32
  5. Step 5: Solve for x
    x = 1,722,626.32/1,497.04
  6. Step 6: Final answer
    x = 1,150.69

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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.