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Finding the Fourth Proportional to 754.36, 1,040.68 and 568.84

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Solution

The fourth proportional to 754.36, 1,040.68 and 568.84 is: 784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,040.68 = 568.84 : x
  2. Step 2: Convert to fraction form
    754.36/1,040.68 = 568.84/x
  3. Step 3: Cross multiply
    754.36x = 1,040.68 × 568.84
  4. Step 4: Simplify right side
    754.36x = 591,980.41
  5. Step 5: Solve for x
    x = 591,980.41/754.36
  6. Step 6: Final answer
    x = 784.75

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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.