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Finding the Fourth Proportional to 1,094.90, 1,641.80 and 364.23

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Solution

The fourth proportional to 1,094.90, 1,641.80 and 364.23 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.90 : 1,641.80 = 364.23 : x
  2. Step 2: Convert to fraction form
    1,094.90/1,641.80 = 364.23/x
  3. Step 3: Cross multiply
    1,094.90x = 1,641.80 × 364.23
  4. Step 4: Simplify right side
    1,094.90x = 597,993.72
  5. Step 5: Solve for x
    x = 597,993.72/1,094.90
  6. Step 6: Final answer
    x = 546.17

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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.