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Finding the Fourth Proportional to 1,358.56, 1,874.62 and 798.70

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Solution

The fourth proportional to 1,358.56, 1,874.62 and 798.70 is: 1,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.56 : 1,874.62 = 798.70 : x
  2. Step 2: Convert to fraction form
    1,358.56/1,874.62 = 798.70/x
  3. Step 3: Cross multiply
    1,358.56x = 1,874.62 × 798.70
  4. Step 4: Simplify right side
    1,358.56x = 1,497,252.31
  5. Step 5: Solve for x
    x = 1,497,252.31/1,358.56
  6. Step 6: Final answer
    x = 1,102.09

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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.