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Finding the Fourth Proportional to 759.96, 1,049.22 and 564.48

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Solution

The fourth proportional to 759.96, 1,049.22 and 564.48 is: 779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.96 : 1,049.22 = 564.48 : x
  2. Step 2: Convert to fraction form
    759.96/1,049.22 = 564.48/x
  3. Step 3: Cross multiply
    759.96x = 1,049.22 × 564.48
  4. Step 4: Simplify right side
    759.96x = 592,263.71
  5. Step 5: Solve for x
    x = 592,263.71/759.96
  6. Step 6: Final answer
    x = 779.34

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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.