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Finding the Fourth Proportional to 1,079.78, 1,620.24 and 669.10

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Solution

The fourth proportional to 1,079.78, 1,620.24 and 669.10 is: 1,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.78 : 1,620.24 = 669.10 : x
  2. Step 2: Convert to fraction form
    1,079.78/1,620.24 = 669.10/x
  3. Step 3: Cross multiply
    1,079.78x = 1,620.24 × 669.10
  4. Step 4: Simplify right side
    1,079.78x = 1,084,102.58
  5. Step 5: Solve for x
    x = 1,084,102.58/1,079.78
  6. Step 6: Final answer
    x = 1,004.00

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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.