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Finding the Fourth Proportional to 1,112.78, 1,669.20 and 535.52

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Solution

The fourth proportional to 1,112.78, 1,669.20 and 535.52 is: 803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,669.20 = 535.52 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,669.20 = 535.52/x
  3. Step 3: Cross multiply
    1,112.78x = 1,669.20 × 535.52
  4. Step 4: Simplify right side
    1,112.78x = 893,889.98
  5. Step 5: Solve for x
    x = 893,889.98/1,112.78
  6. Step 6: Final answer
    x = 803.29

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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.