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Finding the Fourth Proportional to 1,153.98, 1,728.54 and 762.63

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Solution

The fourth proportional to 1,153.98, 1,728.54 and 762.63 is: 1,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.98 : 1,728.54 = 762.63 : x
  2. Step 2: Convert to fraction form
    1,153.98/1,728.54 = 762.63/x
  3. Step 3: Cross multiply
    1,153.98x = 1,728.54 × 762.63
  4. Step 4: Simplify right side
    1,153.98x = 1,318,236.46
  5. Step 5: Solve for x
    x = 1,318,236.46/1,153.98
  6. Step 6: Final answer
    x = 1,142.34

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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.