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Finding the Fourth Proportional to 1,049.04, 1,579.81 and 913.72

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Solution

The fourth proportional to 1,049.04, 1,579.81 and 913.72 is: 1,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.04 : 1,579.81 = 913.72 : x
  2. Step 2: Convert to fraction form
    1,049.04/1,579.81 = 913.72/x
  3. Step 3: Cross multiply
    1,049.04x = 1,579.81 × 913.72
  4. Step 4: Simplify right side
    1,049.04x = 1,443,509.92
  5. Step 5: Solve for x
    x = 1,443,509.92/1,049.04
  6. Step 6: Final answer
    x = 1,376.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.