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Finding the Fourth Proportional to 1,496.44, 2,065.13 and 899.04

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Solution

The fourth proportional to 1,496.44, 2,065.13 and 899.04 is: 1,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.44 : 2,065.13 = 899.04 : x
  2. Step 2: Convert to fraction form
    1,496.44/2,065.13 = 899.04/x
  3. Step 3: Cross multiply
    1,496.44x = 2,065.13 × 899.04
  4. Step 4: Simplify right side
    1,496.44x = 1,856,621.90
  5. Step 5: Solve for x
    x = 1,856,621.90/1,496.44
  6. Step 6: Final answer
    x = 1,240.70

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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.