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Finding the Fourth Proportional to 758.97, 1,046.12 and 563.36

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Solution

The fourth proportional to 758.97, 1,046.12 and 563.36 is: 776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.97 : 1,046.12 = 563.36 : x
  2. Step 2: Convert to fraction form
    758.97/1,046.12 = 563.36/x
  3. Step 3: Cross multiply
    758.97x = 1,046.12 × 563.36
  4. Step 4: Simplify right side
    758.97x = 589,334.12
  5. Step 5: Solve for x
    x = 589,334.12/758.97
  6. Step 6: Final answer
    x = 776.49

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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.