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Finding the Fourth Proportional to 1,194.52, 1,646.40 and 840.56

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Solution

The fourth proportional to 1,194.52, 1,646.40 and 840.56 is: 1,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.52 : 1,646.40 = 840.56 : x
  2. Step 2: Convert to fraction form
    1,194.52/1,646.40 = 840.56/x
  3. Step 3: Cross multiply
    1,194.52x = 1,646.40 × 840.56
  4. Step 4: Simplify right side
    1,194.52x = 1,383,897.98
  5. Step 5: Solve for x
    x = 1,383,897.98/1,194.52
  6. Step 6: Final answer
    x = 1,158.54

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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.