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Finding the Fourth Proportional to 773.04, 1,153.08 and 699.24

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Solution

The fourth proportional to 773.04, 1,153.08 and 699.24 is: 1,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.04 : 1,153.08 = 699.24 : x
  2. Step 2: Convert to fraction form
    773.04/1,153.08 = 699.24/x
  3. Step 3: Cross multiply
    773.04x = 1,153.08 × 699.24
  4. Step 4: Simplify right side
    773.04x = 806,279.66
  5. Step 5: Solve for x
    x = 806,279.66/773.04
  6. Step 6: Final answer
    x = 1,043.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.