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Finding the Fourth Proportional to 1,004.93, 1,385.46 and 769.02

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Solution

The fourth proportional to 1,004.93, 1,385.46 and 769.02 is: 1,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.93 : 1,385.46 = 769.02 : x
  2. Step 2: Convert to fraction form
    1,004.93/1,385.46 = 769.02/x
  3. Step 3: Cross multiply
    1,004.93x = 1,385.46 × 769.02
  4. Step 4: Simplify right side
    1,004.93x = 1,065,446.45
  5. Step 5: Solve for x
    x = 1,065,446.45/1,004.93
  6. Step 6: Final answer
    x = 1,060.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.