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Finding the Fourth Proportional to 1,094.60, 1,642.10 and 364.23

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Solution

The fourth proportional to 1,094.60, 1,642.10 and 364.23 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.60 : 1,642.10 = 364.23 : x
  2. Step 2: Convert to fraction form
    1,094.60/1,642.10 = 364.23/x
  3. Step 3: Cross multiply
    1,094.60x = 1,642.10 × 364.23
  4. Step 4: Simplify right side
    1,094.60x = 598,102.08
  5. Step 5: Solve for x
    x = 598,102.08/1,094.60
  6. Step 6: Final answer
    x = 546.41

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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.