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Finding the Fourth Proportional to 1,131.55, 1,696.74 and 351.34

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Solution

The fourth proportional to 1,131.55, 1,696.74 and 351.34 is: 526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.55 : 1,696.74 = 351.34 : x
  2. Step 2: Convert to fraction form
    1,131.55/1,696.74 = 351.34/x
  3. Step 3: Cross multiply
    1,131.55x = 1,696.74 × 351.34
  4. Step 4: Simplify right side
    1,131.55x = 596,132.63
  5. Step 5: Solve for x
    x = 596,132.63/1,131.55
  6. Step 6: Final answer
    x = 526.83

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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.