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Finding the Fourth Proportional to 1,298.89, 1,792.84 and 906.04

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Solution

The fourth proportional to 1,298.89, 1,792.84 and 906.04 is: 1,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.89 : 1,792.84 = 906.04 : x
  2. Step 2: Convert to fraction form
    1,298.89/1,792.84 = 906.04/x
  3. Step 3: Cross multiply
    1,298.89x = 1,792.84 × 906.04
  4. Step 4: Simplify right side
    1,298.89x = 1,624,375.79
  5. Step 5: Solve for x
    x = 1,624,375.79/1,298.89
  6. Step 6: Final answer
    x = 1,250.59

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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.