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Finding the Fourth Proportional to 1,112.84, 1,667.62 and 535.04

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Solution

The fourth proportional to 1,112.84, 1,667.62 and 535.04 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.84 : 1,667.62 = 535.04 : x
  2. Step 2: Convert to fraction form
    1,112.84/1,667.62 = 535.04/x
  3. Step 3: Cross multiply
    1,112.84x = 1,667.62 × 535.04
  4. Step 4: Simplify right side
    1,112.84x = 892,243.40
  5. Step 5: Solve for x
    x = 892,243.40/1,112.84
  6. Step 6: Final answer
    x = 801.77

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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.