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Finding the Fourth Proportional to 758.22, 1,138.55 and 573.14

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Solution

The fourth proportional to 758.22, 1,138.55 and 573.14 is: 860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.22 : 1,138.55 = 573.14 : x
  2. Step 2: Convert to fraction form
    758.22/1,138.55 = 573.14/x
  3. Step 3: Cross multiply
    758.22x = 1,138.55 × 573.14
  4. Step 4: Simplify right side
    758.22x = 652,539.99
  5. Step 5: Solve for x
    x = 652,539.99/758.22
  6. Step 6: Final answer
    x = 860.62

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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.