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Finding the Fourth Proportional to 1,034.06, 1,423.42 and 902.84

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Solution

The fourth proportional to 1,034.06, 1,423.42 and 902.84 is: 1,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.06 : 1,423.42 = 902.84 : x
  2. Step 2: Convert to fraction form
    1,034.06/1,423.42 = 902.84/x
  3. Step 3: Cross multiply
    1,034.06x = 1,423.42 × 902.84
  4. Step 4: Simplify right side
    1,034.06x = 1,285,120.51
  5. Step 5: Solve for x
    x = 1,285,120.51/1,034.06
  6. Step 6: Final answer
    x = 1,242.79

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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.