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Finding the Fourth Proportional to 1,094.88, 1,642.17 and 364.37

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Solution

The fourth proportional to 1,094.88, 1,642.17 and 364.37 is: 546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.88 : 1,642.17 = 364.37 : x
  2. Step 2: Convert to fraction form
    1,094.88/1,642.17 = 364.37/x
  3. Step 3: Cross multiply
    1,094.88x = 1,642.17 × 364.37
  4. Step 4: Simplify right side
    1,094.88x = 598,350.64
  5. Step 5: Solve for x
    x = 598,350.64/1,094.88
  6. Step 6: Final answer
    x = 546.50

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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.