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Finding the Fourth Proportional to 1,094.31, 1,641.60 and 364.14

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Solution

The fourth proportional to 1,094.31, 1,641.60 and 364.14 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.31 : 1,641.60 = 364.14 : x
  2. Step 2: Convert to fraction form
    1,094.31/1,641.60 = 364.14/x
  3. Step 3: Cross multiply
    1,094.31x = 1,641.60 × 364.14
  4. Step 4: Simplify right side
    1,094.31x = 597,772.22
  5. Step 5: Solve for x
    x = 597,772.22/1,094.31
  6. Step 6: Final answer
    x = 546.25

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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.