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Finding the Fourth Proportional to 749.16, 1,033.44 and 486.90

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Solution

The fourth proportional to 749.16, 1,033.44 and 486.90 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.16 : 1,033.44 = 486.90 : x
  2. Step 2: Convert to fraction form
    749.16/1,033.44 = 486.90/x
  3. Step 3: Cross multiply
    749.16x = 1,033.44 × 486.90
  4. Step 4: Simplify right side
    749.16x = 503,181.94
  5. Step 5: Solve for x
    x = 503,181.94/749.16
  6. Step 6: Final answer
    x = 671.66

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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.