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Finding the Fourth Proportional to 1,094.03, 1,641.57 and 546.29

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Solution

The fourth proportional to 1,094.03, 1,641.57 and 546.29 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 1,641.57 = 546.29 : x
  2. Step 2: Convert to fraction form
    1,094.03/1,641.57 = 546.29/x
  3. Step 3: Cross multiply
    1,094.03x = 1,641.57 × 546.29
  4. Step 4: Simplify right side
    1,094.03x = 896,773.28
  5. Step 5: Solve for x
    x = 896,773.28/1,094.03
  6. Step 6: Final answer
    x = 819.70

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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.