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Finding the Fourth Proportional to 1,310.99, 1,964.87 and 661.91

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Solution

The fourth proportional to 1,310.99, 1,964.87 and 661.91 is: 992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.99 : 1,964.87 = 661.91 : x
  2. Step 2: Convert to fraction form
    1,310.99/1,964.87 = 661.91/x
  3. Step 3: Cross multiply
    1,310.99x = 1,964.87 × 661.91
  4. Step 4: Simplify right side
    1,310.99x = 1,300,563.79
  5. Step 5: Solve for x
    x = 1,300,563.79/1,310.99
  6. Step 6: Final answer
    x = 992.05

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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.