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Finding the Fourth Proportional to 1,131.74, 1,697.25 and 362.06

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Solution

The fourth proportional to 1,131.74, 1,697.25 and 362.06 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.74 : 1,697.25 = 362.06 : x
  2. Step 2: Convert to fraction form
    1,131.74/1,697.25 = 362.06/x
  3. Step 3: Cross multiply
    1,131.74x = 1,697.25 × 362.06
  4. Step 4: Simplify right side
    1,131.74x = 614,511.94
  5. Step 5: Solve for x
    x = 614,511.94/1,131.74
  6. Step 6: Final answer
    x = 542.98

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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.