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Finding the Fourth Proportional to 1,129.77, 1,696.28 and 838.17

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Solution

The fourth proportional to 1,129.77, 1,696.28 and 838.17 is: 1,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.77 : 1,696.28 = 838.17 : x
  2. Step 2: Convert to fraction form
    1,129.77/1,696.28 = 838.17/x
  3. Step 3: Cross multiply
    1,129.77x = 1,696.28 × 838.17
  4. Step 4: Simplify right side
    1,129.77x = 1,421,766.82
  5. Step 5: Solve for x
    x = 1,421,766.82/1,129.77
  6. Step 6: Final answer
    x = 1,258.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.