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Finding the Fourth Proportional to 1,184.67, 1,774.29 and 568.80

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Solution

The fourth proportional to 1,184.67, 1,774.29 and 568.80 is: 851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.67 : 1,774.29 = 568.80 : x
  2. Step 2: Convert to fraction form
    1,184.67/1,774.29 = 568.80/x
  3. Step 3: Cross multiply
    1,184.67x = 1,774.29 × 568.80
  4. Step 4: Simplify right side
    1,184.67x = 1,009,216.15
  5. Step 5: Solve for x
    x = 1,009,216.15/1,184.67
  6. Step 6: Final answer
    x = 851.90

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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.