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Finding the Fourth Proportional to 1,151.27, 1,589.06 and 709.54

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Solution

The fourth proportional to 1,151.27, 1,589.06 and 709.54 is: 979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.27 : 1,589.06 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,151.27/1,589.06 = 709.54/x
  3. Step 3: Cross multiply
    1,151.27x = 1,589.06 × 709.54
  4. Step 4: Simplify right side
    1,151.27x = 1,127,494.11
  5. Step 5: Solve for x
    x = 1,127,494.11/1,151.27
  6. Step 6: Final answer
    x = 979.35

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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.