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Finding the Fourth Proportional to 1,034.76, 1,429.20 and 839.28

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Solution

The fourth proportional to 1,034.76, 1,429.20 and 839.28 is: 1,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.76 : 1,429.20 = 839.28 : x
  2. Step 2: Convert to fraction form
    1,034.76/1,429.20 = 839.28/x
  3. Step 3: Cross multiply
    1,034.76x = 1,429.20 × 839.28
  4. Step 4: Simplify right side
    1,034.76x = 1,199,498.98
  5. Step 5: Solve for x
    x = 1,199,498.98/1,034.76
  6. Step 6: Final answer
    x = 1,159.21

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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.