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Finding the Fourth Proportional to 682.13, 1,023.58 and 567.95

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Solution

The fourth proportional to 682.13, 1,023.58 and 567.95 is: 852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 1,023.58 = 567.95 : x
  2. Step 2: Convert to fraction form
    682.13/1,023.58 = 567.95/x
  3. Step 3: Cross multiply
    682.13x = 1,023.58 × 567.95
  4. Step 4: Simplify right side
    682.13x = 581,342.26
  5. Step 5: Solve for x
    x = 581,342.26/682.13
  6. Step 6: Final answer
    x = 852.25

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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.