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Finding the Fourth Proportional to 840.54, 1,159.86 and 467.49

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Solution

The fourth proportional to 840.54, 1,159.86 and 467.49 is: 645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,159.86 = 467.49 : x
  2. Step 2: Convert to fraction form
    840.54/1,159.86 = 467.49/x
  3. Step 3: Cross multiply
    840.54x = 1,159.86 × 467.49
  4. Step 4: Simplify right side
    840.54x = 542,222.95
  5. Step 5: Solve for x
    x = 542,222.95/840.54
  6. Step 6: Final answer
    x = 645.09

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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.