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Finding the Fourth Proportional to 749.84, 1,035.62 and 739.60

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Solution

The fourth proportional to 749.84, 1,035.62 and 739.60 is: 1,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.84 : 1,035.62 = 739.60 : x
  2. Step 2: Convert to fraction form
    749.84/1,035.62 = 739.60/x
  3. Step 3: Cross multiply
    749.84x = 1,035.62 × 739.60
  4. Step 4: Simplify right side
    749.84x = 765,944.55
  5. Step 5: Solve for x
    x = 765,944.55/749.84
  6. Step 6: Final answer
    x = 1,021.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.