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Finding the Fourth Proportional to 1,358.14, 1,874.68 and 798.58

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Solution

The fourth proportional to 1,358.14, 1,874.68 and 798.58 is: 1,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.14 : 1,874.68 = 798.58 : x
  2. Step 2: Convert to fraction form
    1,358.14/1,874.68 = 798.58/x
  3. Step 3: Cross multiply
    1,358.14x = 1,874.68 × 798.58
  4. Step 4: Simplify right side
    1,358.14x = 1,497,090.94
  5. Step 5: Solve for x
    x = 1,497,090.94/1,358.14
  6. Step 6: Final answer
    x = 1,102.31

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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.