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Finding the Fourth Proportional to 755.53, 1,133.80 and 455.24

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Solution

The fourth proportional to 755.53, 1,133.80 and 455.24 is: 683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.53 : 1,133.80 = 455.24 : x
  2. Step 2: Convert to fraction form
    755.53/1,133.80 = 455.24/x
  3. Step 3: Cross multiply
    755.53x = 1,133.80 × 455.24
  4. Step 4: Simplify right side
    755.53x = 516,151.11
  5. Step 5: Solve for x
    x = 516,151.11/755.53
  6. Step 6: Final answer
    x = 683.16

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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.