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Finding the Fourth Proportional to 1,311.22, 1,967.28 and 661.45

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Solution

The fourth proportional to 1,311.22, 1,967.28 and 661.45 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.22 : 1,967.28 = 661.45 : x
  2. Step 2: Convert to fraction form
    1,311.22/1,967.28 = 661.45/x
  3. Step 3: Cross multiply
    1,311.22x = 1,967.28 × 661.45
  4. Step 4: Simplify right side
    1,311.22x = 1,301,257.36
  5. Step 5: Solve for x
    x = 1,301,257.36/1,311.22
  6. Step 6: Final answer
    x = 992.40

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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.