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Finding the Fourth Proportional to 1,310.83, 1,965.15 and 898.96

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Solution

The fourth proportional to 1,310.83, 1,965.15 and 898.96 is: 1,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,965.15 = 898.96 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,965.15 = 898.96/x
  3. Step 3: Cross multiply
    1,310.83x = 1,965.15 × 898.96
  4. Step 4: Simplify right side
    1,310.83x = 1,766,591.24
  5. Step 5: Solve for x
    x = 1,766,591.24/1,310.83
  6. Step 6: Final answer
    x = 1,347.69

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Why These Related Problems?

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