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Finding the Fourth Proportional to 749.25, 1,034.03 and 483.77

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Solution

The fourth proportional to 749.25, 1,034.03 and 483.77 is: 667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,034.03 = 483.77 : x
  2. Step 2: Convert to fraction form
    749.25/1,034.03 = 483.77/x
  3. Step 3: Cross multiply
    749.25x = 1,034.03 × 483.77
  4. Step 4: Simplify right side
    749.25x = 500,236.49
  5. Step 5: Solve for x
    x = 500,236.49/749.25
  6. Step 6: Final answer
    x = 667.65

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