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Finding the Fourth Proportional to 757.68, 1,045.08 and 668.40

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Solution

The fourth proportional to 757.68, 1,045.08 and 668.40 is: 921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.68 : 1,045.08 = 668.40 : x
  2. Step 2: Convert to fraction form
    757.68/1,045.08 = 668.40/x
  3. Step 3: Cross multiply
    757.68x = 1,045.08 × 668.40
  4. Step 4: Simplify right side
    757.68x = 698,531.47
  5. Step 5: Solve for x
    x = 698,531.47/757.68
  6. Step 6: Final answer
    x = 921.93

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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.