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Finding the Fourth Proportional to 1,096.32, 1,642.84 and 1,015.32

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Solution

The fourth proportional to 1,096.32, 1,642.84 and 1,015.32 is: 1,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.32 : 1,642.84 = 1,015.32 : x
  2. Step 2: Convert to fraction form
    1,096.32/1,642.84 = 1,015.32/x
  3. Step 3: Cross multiply
    1,096.32x = 1,642.84 × 1,015.32
  4. Step 4: Simplify right side
    1,096.32x = 1,668,008.31
  5. Step 5: Solve for x
    x = 1,668,008.31/1,096.32
  6. Step 6: Final answer
    x = 1,521.46

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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.