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Finding the Fourth Proportional to 1,094.41, 1,641.82 and 354.22

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Solution

The fourth proportional to 1,094.41, 1,641.82 and 354.22 is: 531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.41 : 1,641.82 = 354.22 : x
  2. Step 2: Convert to fraction form
    1,094.41/1,641.82 = 354.22/x
  3. Step 3: Cross multiply
    1,094.41x = 1,641.82 × 354.22
  4. Step 4: Simplify right side
    1,094.41x = 581,565.48
  5. Step 5: Solve for x
    x = 581,565.48/1,094.41
  6. Step 6: Final answer
    x = 531.40

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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.