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Finding the Fourth Proportional to 759.34, 1,138.92 and 564.58

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Solution

The fourth proportional to 759.34, 1,138.92 and 564.58 is: 846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.34 : 1,138.92 = 564.58 : x
  2. Step 2: Convert to fraction form
    759.34/1,138.92 = 564.58/x
  3. Step 3: Cross multiply
    759.34x = 1,138.92 × 564.58
  4. Step 4: Simplify right side
    759.34x = 643,011.45
  5. Step 5: Solve for x
    x = 643,011.45/759.34
  6. Step 6: Final answer
    x = 846.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.