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Finding the Fourth Proportional to 1,358.60, 1,874.61 and 827.35

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Solution

The fourth proportional to 1,358.60, 1,874.61 and 827.35 is: 1,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.60 : 1,874.61 = 827.35 : x
  2. Step 2: Convert to fraction form
    1,358.60/1,874.61 = 827.35/x
  3. Step 3: Cross multiply
    1,358.60x = 1,874.61 × 827.35
  4. Step 4: Simplify right side
    1,358.60x = 1,550,953.90
  5. Step 5: Solve for x
    x = 1,550,953.90/1,358.60
  6. Step 6: Final answer
    x = 1,141.59

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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.