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Finding the Fourth Proportional to 1,308.76, 1,963.78 and 577.46

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Solution

The fourth proportional to 1,308.76, 1,963.78 and 577.46 is: 866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.76 : 1,963.78 = 577.46 : x
  2. Step 2: Convert to fraction form
    1,308.76/1,963.78 = 577.46/x
  3. Step 3: Cross multiply
    1,308.76x = 1,963.78 × 577.46
  4. Step 4: Simplify right side
    1,308.76x = 1,134,007.86
  5. Step 5: Solve for x
    x = 1,134,007.86/1,308.76
  6. Step 6: Final answer
    x = 866.48

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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.