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Finding the Fourth Proportional to 1,099.89, 1,517.93 and 902.85

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Solution

The fourth proportional to 1,099.89, 1,517.93 and 902.85 is: 1,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.89 : 1,517.93 = 902.85 : x
  2. Step 2: Convert to fraction form
    1,099.89/1,517.93 = 902.85/x
  3. Step 3: Cross multiply
    1,099.89x = 1,517.93 × 902.85
  4. Step 4: Simplify right side
    1,099.89x = 1,370,457.77
  5. Step 5: Solve for x
    x = 1,370,457.77/1,099.89
  6. Step 6: Final answer
    x = 1,246.00

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Why These Related Problems?

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