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Finding the Fourth Proportional to 1,134.45, 1,564.76 and 1,096.36

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Solution

The fourth proportional to 1,134.45, 1,564.76 and 1,096.36 is: 1,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.45 : 1,564.76 = 1,096.36 : x
  2. Step 2: Convert to fraction form
    1,134.45/1,564.76 = 1,096.36/x
  3. Step 3: Cross multiply
    1,134.45x = 1,564.76 × 1,096.36
  4. Step 4: Simplify right side
    1,134.45x = 1,715,539.10
  5. Step 5: Solve for x
    x = 1,715,539.10/1,134.45
  6. Step 6: Final answer
    x = 1,512.22

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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.