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Finding the Fourth Proportional to 1,094.85, 1,641.67 and 478.44

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Solution

The fourth proportional to 1,094.85, 1,641.67 and 478.44 is: 717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.85 : 1,641.67 = 478.44 : x
  2. Step 2: Convert to fraction form
    1,094.85/1,641.67 = 478.44/x
  3. Step 3: Cross multiply
    1,094.85x = 1,641.67 × 478.44
  4. Step 4: Simplify right side
    1,094.85x = 785,439.40
  5. Step 5: Solve for x
    x = 785,439.40/1,094.85
  6. Step 6: Final answer
    x = 717.39

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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.