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Finding the Fourth Proportional to 1,112.58, 1,535.94 and 1,038.96

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Solution

The fourth proportional to 1,112.58, 1,535.94 and 1,038.96 is: 1,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.58 : 1,535.94 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    1,112.58/1,535.94 = 1,038.96/x
  3. Step 3: Cross multiply
    1,112.58x = 1,535.94 × 1,038.96
  4. Step 4: Simplify right side
    1,112.58x = 1,595,780.22
  5. Step 5: Solve for x
    x = 1,595,780.22/1,112.58
  6. Step 6: Final answer
    x = 1,434.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.