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Finding the Fourth Proportional to 739.98, 1,104.57 and 652.41

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Solution

The fourth proportional to 739.98, 1,104.57 and 652.41 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.98 : 1,104.57 = 652.41 : x
  2. Step 2: Convert to fraction form
    739.98/1,104.57 = 652.41/x
  3. Step 3: Cross multiply
    739.98x = 1,104.57 × 652.41
  4. Step 4: Simplify right side
    739.98x = 720,632.51
  5. Step 5: Solve for x
    x = 720,632.51/739.98
  6. Step 6: Final answer
    x = 973.85

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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.