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Finding the Fourth Proportional to 1,094.52, 1,641.66 and 364.14

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Solution

The fourth proportional to 1,094.52, 1,641.66 and 364.14 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.52 : 1,641.66 = 364.14 : x
  2. Step 2: Convert to fraction form
    1,094.52/1,641.66 = 364.14/x
  3. Step 3: Cross multiply
    1,094.52x = 1,641.66 × 364.14
  4. Step 4: Simplify right side
    1,094.52x = 597,794.07
  5. Step 5: Solve for x
    x = 597,794.07/1,094.52
  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.