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Finding the Fourth Proportional to 1,313.01, 1,965.68 and 796.53

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Solution

The fourth proportional to 1,313.01, 1,965.68 and 796.53 is: 1,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.01 : 1,965.68 = 796.53 : x
  2. Step 2: Convert to fraction form
    1,313.01/1,965.68 = 796.53/x
  3. Step 3: Cross multiply
    1,313.01x = 1,965.68 × 796.53
  4. Step 4: Simplify right side
    1,313.01x = 1,565,719.11
  5. Step 5: Solve for x
    x = 1,565,719.11/1,313.01
  6. Step 6: Final answer
    x = 1,192.47

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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.