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Finding the Fourth Proportional to 757.54, 1,133.65 and 553.42

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Solution

The fourth proportional to 757.54, 1,133.65 and 553.42 is: 828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.54 : 1,133.65 = 553.42 : x
  2. Step 2: Convert to fraction form
    757.54/1,133.65 = 553.42/x
  3. Step 3: Cross multiply
    757.54x = 1,133.65 × 553.42
  4. Step 4: Simplify right side
    757.54x = 627,384.58
  5. Step 5: Solve for x
    x = 627,384.58/757.54
  6. Step 6: Final answer
    x = 828.19

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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.