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Finding the Fourth Proportional to 1,308.12, 1,961.01 and 567.78

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Solution

The fourth proportional to 1,308.12, 1,961.01 and 567.78 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.12 : 1,961.01 = 567.78 : x
  2. Step 2: Convert to fraction form
    1,308.12/1,961.01 = 567.78/x
  3. Step 3: Cross multiply
    1,308.12x = 1,961.01 × 567.78
  4. Step 4: Simplify right side
    1,308.12x = 1,113,422.26
  5. Step 5: Solve for x
    x = 1,113,422.26/1,308.12
  6. Step 6: Final answer
    x = 851.16

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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.