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Finding the Fourth Proportional to 1,131.57, 1,696.75 and 351.24

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Solution

The fourth proportional to 1,131.57, 1,696.75 and 351.24 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,696.75 = 351.24 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,696.75 = 351.24/x
  3. Step 3: Cross multiply
    1,131.57x = 1,696.75 × 351.24
  4. Step 4: Simplify right side
    1,131.57x = 595,966.47
  5. Step 5: Solve for x
    x = 595,966.47/1,131.57
  6. Step 6: Final answer
    x = 526.67

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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.