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Finding the Fourth Proportional to 1,184.52, 1,774.92 and 568.20

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Solution

The fourth proportional to 1,184.52, 1,774.92 and 568.20 is: 851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.52 : 1,774.92 = 568.20 : x
  2. Step 2: Convert to fraction form
    1,184.52/1,774.92 = 568.20/x
  3. Step 3: Cross multiply
    1,184.52x = 1,774.92 × 568.20
  4. Step 4: Simplify right side
    1,184.52x = 1,008,509.54
  5. Step 5: Solve for x
    x = 1,008,509.54/1,184.52
  6. Step 6: Final answer
    x = 851.41

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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.