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Finding the Fourth Proportional to 749.80, 1,122.56 and 595.94

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Solution

The fourth proportional to 749.80, 1,122.56 and 595.94 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.80 : 1,122.56 = 595.94 : x
  2. Step 2: Convert to fraction form
    749.80/1,122.56 = 595.94/x
  3. Step 3: Cross multiply
    749.80x = 1,122.56 × 595.94
  4. Step 4: Simplify right side
    749.80x = 668,978.41
  5. Step 5: Solve for x
    x = 668,978.41/749.80
  6. Step 6: Final answer
    x = 892.21

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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.