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Finding the Fourth Proportional to 1,151.45, 1,588.23 and 709.49

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Solution

The fourth proportional to 1,151.45, 1,588.23 and 709.49 is: 978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.45 : 1,588.23 = 709.49 : x
  2. Step 2: Convert to fraction form
    1,151.45/1,588.23 = 709.49/x
  3. Step 3: Cross multiply
    1,151.45x = 1,588.23 × 709.49
  4. Step 4: Simplify right side
    1,151.45x = 1,126,833.30
  5. Step 5: Solve for x
    x = 1,126,833.30/1,151.45
  6. Step 6: Final answer
    x = 978.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.