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Finding the Fourth Proportional to 1,310.82, 1,966.23 and 660.66

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Solution

The fourth proportional to 1,310.82, 1,966.23 and 660.66 is: 990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.82 : 1,966.23 = 660.66 : x
  2. Step 2: Convert to fraction form
    1,310.82/1,966.23 = 660.66/x
  3. Step 3: Cross multiply
    1,310.82x = 1,966.23 × 660.66
  4. Step 4: Simplify right side
    1,310.82x = 1,299,009.51
  5. Step 5: Solve for x
    x = 1,299,009.51/1,310.82
  6. Step 6: Final answer
    x = 990.99

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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.