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Finding the Fourth Proportional to 1,131.93, 1,697.71 and 310.27

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Solution

The fourth proportional to 1,131.93, 1,697.71 and 310.27 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.93 : 1,697.71 = 310.27 : x
  2. Step 2: Convert to fraction form
    1,131.93/1,697.71 = 310.27/x
  3. Step 3: Cross multiply
    1,131.93x = 1,697.71 × 310.27
  4. Step 4: Simplify right side
    1,131.93x = 526,748.48
  5. Step 5: Solve for x
    x = 526,748.48/1,131.93
  6. Step 6: Final answer
    x = 465.35

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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.