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Finding the Fourth Proportional to 1,313.21, 1,967.84 and 792.64

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Solution

The fourth proportional to 1,313.21, 1,967.84 and 792.64 is: 1,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.21 : 1,967.84 = 792.64 : x
  2. Step 2: Convert to fraction form
    1,313.21/1,967.84 = 792.64/x
  3. Step 3: Cross multiply
    1,313.21x = 1,967.84 × 792.64
  4. Step 4: Simplify right side
    1,313.21x = 1,559,790.17
  5. Step 5: Solve for x
    x = 1,559,790.17/1,313.21
  6. Step 6: Final answer
    x = 1,187.77

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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.