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Finding the Fourth Proportional to 1,094.52, 1,641.78 and 272.80

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Solution

The fourth proportional to 1,094.52, 1,641.78 and 272.80 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,641.78 = 272.80 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,641.78 = 272.80/x
  3. Step 3: Cross multiply
    1,094.52x = 1,641.78 × 272.80
  4. Step 4: Simplify right side
    1,094.52x = 447,877.58
  5. Step 5: Solve for x
    x = 447,877.58/1,094.52
  6. Step 6: Final answer
    x = 409.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.