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Finding the Fourth Proportional to 750.67, 1,120.23 and 640.91

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Solution

The fourth proportional to 750.67, 1,120.23 and 640.91 is: 956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.67 : 1,120.23 = 640.91 : x
  2. Step 2: Convert to fraction form
    750.67/1,120.23 = 640.91/x
  3. Step 3: Cross multiply
    750.67x = 1,120.23 × 640.91
  4. Step 4: Simplify right side
    750.67x = 717,969.41
  5. Step 5: Solve for x
    x = 717,969.41/750.67
  6. Step 6: Final answer
    x = 956.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.