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Finding the Fourth Proportional to 1,310.28, 1,965.90 and 579.40

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Solution

The fourth proportional to 1,310.28, 1,965.90 and 579.40 is: 869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.28 : 1,965.90 = 579.40 : x
  2. Step 2: Convert to fraction form
    1,310.28/1,965.90 = 579.40/x
  3. Step 3: Cross multiply
    1,310.28x = 1,965.90 × 579.40
  4. Step 4: Simplify right side
    1,310.28x = 1,139,042.46
  5. Step 5: Solve for x
    x = 1,139,042.46/1,310.28
  6. Step 6: Final answer
    x = 869.31

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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.