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Finding the Fourth Proportional to 1,112.82, 1,667.07 and 536.10

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Solution

The fourth proportional to 1,112.82, 1,667.07 and 536.10 is: 803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.82 : 1,667.07 = 536.10 : x
  2. Step 2: Convert to fraction form
    1,112.82/1,667.07 = 536.10/x
  3. Step 3: Cross multiply
    1,112.82x = 1,667.07 × 536.10
  4. Step 4: Simplify right side
    1,112.82x = 893,716.23
  5. Step 5: Solve for x
    x = 893,716.23/1,112.82
  6. Step 6: Final answer
    x = 803.11

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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.