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Finding the Fourth Proportional to 1,068.73, 1,608.77 and 762.70

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Solution

The fourth proportional to 1,068.73, 1,608.77 and 762.70 is: 1,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.73 : 1,608.77 = 762.70 : x
  2. Step 2: Convert to fraction form
    1,068.73/1,608.77 = 762.70/x
  3. Step 3: Cross multiply
    1,068.73x = 1,608.77 × 762.70
  4. Step 4: Simplify right side
    1,068.73x = 1,227,008.88
  5. Step 5: Solve for x
    x = 1,227,008.88/1,068.73
  6. Step 6: Final answer
    x = 1,148.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.