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Finding the Fourth Proportional to 1,126.36, 1,688.59 and 396.42

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Solution

The fourth proportional to 1,126.36, 1,688.59 and 396.42 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.36 : 1,688.59 = 396.42 : x
  2. Step 2: Convert to fraction form
    1,126.36/1,688.59 = 396.42/x
  3. Step 3: Cross multiply
    1,126.36x = 1,688.59 × 396.42
  4. Step 4: Simplify right side
    1,126.36x = 669,390.85
  5. Step 5: Solve for x
    x = 669,390.85/1,126.36
  6. Step 6: Final answer
    x = 594.30

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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.