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Finding the Fourth Proportional to 749.37, 1,122.98 and 424.05

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Solution

The fourth proportional to 749.37, 1,122.98 and 424.05 is: 635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.37 : 1,122.98 = 424.05 : x
  2. Step 2: Convert to fraction form
    749.37/1,122.98 = 424.05/x
  3. Step 3: Cross multiply
    749.37x = 1,122.98 × 424.05
  4. Step 4: Simplify right side
    749.37x = 476,197.55
  5. Step 5: Solve for x
    x = 476,197.55/749.37
  6. Step 6: Final answer
    x = 635.46

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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.