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Finding the Fourth Proportional to 1,356.82, 2,034.18 and 534.67

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Solution

The fourth proportional to 1,356.82, 2,034.18 and 534.67 is: 801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.82 : 2,034.18 = 534.67 : x
  2. Step 2: Convert to fraction form
    1,356.82/2,034.18 = 534.67/x
  3. Step 3: Cross multiply
    1,356.82x = 2,034.18 × 534.67
  4. Step 4: Simplify right side
    1,356.82x = 1,087,609.94
  5. Step 5: Solve for x
    x = 1,087,609.94/1,356.82
  6. Step 6: Final answer
    x = 801.59

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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.