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Finding the Fourth Proportional to 1,308.34, 1,961.77 and 528.71

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Solution

The fourth proportional to 1,308.34, 1,961.77 and 528.71 is: 792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.34 : 1,961.77 = 528.71 : x
  2. Step 2: Convert to fraction form
    1,308.34/1,961.77 = 528.71/x
  3. Step 3: Cross multiply
    1,308.34x = 1,961.77 × 528.71
  4. Step 4: Simplify right side
    1,308.34x = 1,037,208.31
  5. Step 5: Solve for x
    x = 1,037,208.31/1,308.34
  6. Step 6: Final answer
    x = 792.77

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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.