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Finding the Fourth Proportional to 1,134.14, 1,566.61 and 840.92

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Solution

The fourth proportional to 1,134.14, 1,566.61 and 840.92 is: 1,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.14 : 1,566.61 = 840.92 : x
  2. Step 2: Convert to fraction form
    1,134.14/1,566.61 = 840.92/x
  3. Step 3: Cross multiply
    1,134.14x = 1,566.61 × 840.92
  4. Step 4: Simplify right side
    1,134.14x = 1,317,383.75
  5. Step 5: Solve for x
    x = 1,317,383.75/1,134.14
  6. Step 6: Final answer
    x = 1,161.58

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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.