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Finding the Fourth Proportional to 751.27, 1,036.27 and 564.46

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Solution

The fourth proportional to 751.27, 1,036.27 and 564.46 is: 778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.27 : 1,036.27 = 564.46 : x
  2. Step 2: Convert to fraction form
    751.27/1,036.27 = 564.46/x
  3. Step 3: Cross multiply
    751.27x = 1,036.27 × 564.46
  4. Step 4: Simplify right side
    751.27x = 584,928.96
  5. Step 5: Solve for x
    x = 584,928.96/751.27
  6. Step 6: Final answer
    x = 778.59

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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.