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Finding the Fourth Proportional to 749.82, 1,035.21 and 484.40

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Solution

The fourth proportional to 749.82, 1,035.21 and 484.40 is: 668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,035.21 = 484.40 : x
  2. Step 2: Convert to fraction form
    749.82/1,035.21 = 484.40/x
  3. Step 3: Cross multiply
    749.82x = 1,035.21 × 484.40
  4. Step 4: Simplify right side
    749.82x = 501,455.72
  5. Step 5: Solve for x
    x = 501,455.72/749.82
  6. Step 6: Final answer
    x = 668.77

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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.