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Finding the Fourth Proportional to 1,182.81, 1,774.27 and 837.69

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Solution

The fourth proportional to 1,182.81, 1,774.27 and 837.69 is: 1,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.81 : 1,774.27 = 837.69 : x
  2. Step 2: Convert to fraction form
    1,182.81/1,774.27 = 837.69/x
  3. Step 3: Cross multiply
    1,182.81x = 1,774.27 × 837.69
  4. Step 4: Simplify right side
    1,182.81x = 1,486,288.24
  5. Step 5: Solve for x
    x = 1,486,288.24/1,182.81
  6. Step 6: Final answer
    x = 1,256.57

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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.