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Finding the Fourth Proportional to 1,151.77, 1,589.52 and 709.70

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Solution

The fourth proportional to 1,151.77, 1,589.52 and 709.70 is: 979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.77 : 1,589.52 = 709.70 : x
  2. Step 2: Convert to fraction form
    1,151.77/1,589.52 = 709.70/x
  3. Step 3: Cross multiply
    1,151.77x = 1,589.52 × 709.70
  4. Step 4: Simplify right side
    1,151.77x = 1,128,083.76
  5. Step 5: Solve for x
    x = 1,128,083.76/1,151.77
  6. Step 6: Final answer
    x = 979.44

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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.