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Finding the Fourth Proportional to 749.88, 1,032.84 and 644.76

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Solution

The fourth proportional to 749.88, 1,032.84 and 644.76 is: 888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,032.84 = 644.76 : x
  2. Step 2: Convert to fraction form
    749.88/1,032.84 = 644.76/x
  3. Step 3: Cross multiply
    749.88x = 1,032.84 × 644.76
  4. Step 4: Simplify right side
    749.88x = 665,933.92
  5. Step 5: Solve for x
    x = 665,933.92/749.88
  6. Step 6: Final answer
    x = 888.05

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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.