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Finding the Fourth Proportional to 1,151.70, 1,588.79 and 709.44

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Solution

The fourth proportional to 1,151.70, 1,588.79 and 709.44 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.70 : 1,588.79 = 709.44 : x
  2. Step 2: Convert to fraction form
    1,151.70/1,588.79 = 709.44/x
  3. Step 3: Cross multiply
    1,151.70x = 1,588.79 × 709.44
  4. Step 4: Simplify right side
    1,151.70x = 1,127,151.18
  5. Step 5: Solve for x
    x = 1,127,151.18/1,151.70
  6. Step 6: Final answer
    x = 978.68

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Why These Related Problems?

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