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Finding the Fourth Proportional to 739.13, 1,020.42 and 564.80

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Solution

The fourth proportional to 739.13, 1,020.42 and 564.80 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.13 : 1,020.42 = 564.80 : x
  2. Step 2: Convert to fraction form
    739.13/1,020.42 = 564.80/x
  3. Step 3: Cross multiply
    739.13x = 1,020.42 × 564.80
  4. Step 4: Simplify right side
    739.13x = 576,328.11
  5. Step 5: Solve for x
    x = 576,328.11/739.13
  6. Step 6: Final answer
    x = 779.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.