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Finding the Fourth Proportional to 749.22, 1,122.61 and 594.31

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Solution

The fourth proportional to 749.22, 1,122.61 and 594.31 is: 890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.22 : 1,122.61 = 594.31 : x
  2. Step 2: Convert to fraction form
    749.22/1,122.61 = 594.31/x
  3. Step 3: Cross multiply
    749.22x = 1,122.61 × 594.31
  4. Step 4: Simplify right side
    749.22x = 667,178.35
  5. Step 5: Solve for x
    x = 667,178.35/749.22
  6. Step 6: Final answer
    x = 890.50

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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.