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Finding the Fourth Proportional to 1,765.70, 2,647.28 and 669.47

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Solution

The fourth proportional to 1,765.70, 2,647.28 and 669.47 is: 1,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.70 : 2,647.28 = 669.47 : x
  2. Step 2: Convert to fraction form
    1,765.70/2,647.28 = 669.47/x
  3. Step 3: Cross multiply
    1,765.70x = 2,647.28 × 669.47
  4. Step 4: Simplify right side
    1,765.70x = 1,772,262.98
  5. Step 5: Solve for x
    x = 1,772,262.98/1,765.70
  6. Step 6: Final answer
    x = 1,003.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.