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Finding the Fourth Proportional to 1,184.17, 1,775.75 and 628.76

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Solution

The fourth proportional to 1,184.17, 1,775.75 and 628.76 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.17 : 1,775.75 = 628.76 : x
  2. Step 2: Convert to fraction form
    1,184.17/1,775.75 = 628.76/x
  3. Step 3: Cross multiply
    1,184.17x = 1,775.75 × 628.76
  4. Step 4: Simplify right side
    1,184.17x = 1,116,524.13
  5. Step 5: Solve for x
    x = 1,116,524.13/1,184.17
  6. Step 6: Final answer
    x = 942.87

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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.