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Finding the Fourth Proportional to 754.02, 1,038.24 and 660.24

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Solution

The fourth proportional to 754.02, 1,038.24 and 660.24 is: 909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.02 : 1,038.24 = 660.24 : x
  2. Step 2: Convert to fraction form
    754.02/1,038.24 = 660.24/x
  3. Step 3: Cross multiply
    754.02x = 1,038.24 × 660.24
  4. Step 4: Simplify right side
    754.02x = 685,487.58
  5. Step 5: Solve for x
    x = 685,487.58/754.02
  6. Step 6: Final answer
    x = 909.11

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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.