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Finding the Fourth Proportional to 1,068.21, 1,602.90 and 742.95

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Solution

The fourth proportional to 1,068.21, 1,602.90 and 742.95 is: 1,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.21 : 1,602.90 = 742.95 : x
  2. Step 2: Convert to fraction form
    1,068.21/1,602.90 = 742.95/x
  3. Step 3: Cross multiply
    1,068.21x = 1,602.90 × 742.95
  4. Step 4: Simplify right side
    1,068.21x = 1,190,874.56
  5. Step 5: Solve for x
    x = 1,190,874.56/1,068.21
  6. Step 6: Final answer
    x = 1,114.83

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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.