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Finding the Fourth Proportional to 1,182.84, 1,774.20 and 837.68

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Solution

The fourth proportional to 1,182.84, 1,774.20 and 837.68 is: 1,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,774.20 = 837.68 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,774.20 = 837.68/x
  3. Step 3: Cross multiply
    1,182.84x = 1,774.20 × 837.68
  4. Step 4: Simplify right side
    1,182.84x = 1,486,211.86
  5. Step 5: Solve for x
    x = 1,486,211.86/1,182.84
  6. Step 6: Final answer
    x = 1,256.48

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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.