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Finding the Fourth Proportional to 680.34, 1,018.14 and 565

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Solution

The fourth proportional to 680.34, 1,018.14 and 565 is: 845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,018.14 = 565 : x
  2. Step 2: Convert to fraction form
    680.34/1,018.14 = 565/x
  3. Step 3: Cross multiply
    680.34x = 1,018.14 × 565
  4. Step 4: Simplify right side
    680.34x = 575,249.10
  5. Step 5: Solve for x
    x = 575,249.10/680.34
  6. Step 6: Final answer
    x = 845.53

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