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Finding the Fourth Proportional to 1,131.17, 1,696.98 and 351.15

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Solution

The fourth proportional to 1,131.17, 1,696.98 and 351.15 is: 526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.17 : 1,696.98 = 351.15 : x
  2. Step 2: Convert to fraction form
    1,131.17/1,696.98 = 351.15/x
  3. Step 3: Cross multiply
    1,131.17x = 1,696.98 × 351.15
  4. Step 4: Simplify right side
    1,131.17x = 595,889.48
  5. Step 5: Solve for x
    x = 595,889.48/1,131.17
  6. Step 6: Final answer
    x = 526.79

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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.