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Finding the Fourth Proportional to 1,112.53, 1,667.63 and 496.52

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Solution

The fourth proportional to 1,112.53, 1,667.63 and 496.52 is: 744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.53 : 1,667.63 = 496.52 : x
  2. Step 2: Convert to fraction form
    1,112.53/1,667.63 = 496.52/x
  3. Step 3: Cross multiply
    1,112.53x = 1,667.63 × 496.52
  4. Step 4: Simplify right side
    1,112.53x = 828,011.65
  5. Step 5: Solve for x
    x = 828,011.65/1,112.53
  6. Step 6: Final answer
    x = 744.26

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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.