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Finding the Fourth Proportional to 1,126.82, 1,690.31 and 346.76

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Solution

The fourth proportional to 1,126.82, 1,690.31 and 346.76 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,690.31 = 346.76 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,690.31 = 346.76/x
  3. Step 3: Cross multiply
    1,126.82x = 1,690.31 × 346.76
  4. Step 4: Simplify right side
    1,126.82x = 586,124.31
  5. Step 5: Solve for x
    x = 586,124.31/1,126.82
  6. Step 6: Final answer
    x = 520.16

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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.