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Finding the Fourth Proportional to 1,145.28, 1,713.83 and 991.74

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Solution

The fourth proportional to 1,145.28, 1,713.83 and 991.74 is: 1,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.28 : 1,713.83 = 991.74 : x
  2. Step 2: Convert to fraction form
    1,145.28/1,713.83 = 991.74/x
  3. Step 3: Cross multiply
    1,145.28x = 1,713.83 × 991.74
  4. Step 4: Simplify right side
    1,145.28x = 1,699,668.81
  5. Step 5: Solve for x
    x = 1,699,668.81/1,145.28
  6. Step 6: Final answer
    x = 1,484.06

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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.