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Finding the Fourth Proportional to 1,184.22, 1,780.56 and 637.44

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Solution

The fourth proportional to 1,184.22, 1,780.56 and 637.44 is: 958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.22 : 1,780.56 = 637.44 : x
  2. Step 2: Convert to fraction form
    1,184.22/1,780.56 = 637.44/x
  3. Step 3: Cross multiply
    1,184.22x = 1,780.56 × 637.44
  4. Step 4: Simplify right side
    1,184.22x = 1,135,000.17
  5. Step 5: Solve for x
    x = 1,135,000.17/1,184.22
  6. Step 6: Final answer
    x = 958.44

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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.