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Finding the Fourth Proportional to 1,310.33, 1,964.40 and 898.46

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Solution

The fourth proportional to 1,310.33, 1,964.40 and 898.46 is: 1,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.33 : 1,964.40 = 898.46 : x
  2. Step 2: Convert to fraction form
    1,310.33/1,964.40 = 898.46/x
  3. Step 3: Cross multiply
    1,310.33x = 1,964.40 × 898.46
  4. Step 4: Simplify right side
    1,310.33x = 1,764,934.82
  5. Step 5: Solve for x
    x = 1,764,934.82/1,310.33
  6. Step 6: Final answer
    x = 1,346.94

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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.