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Finding the Fourth Proportional to 1,126.18, 1,688.52 and 395.38

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Solution

The fourth proportional to 1,126.18, 1,688.52 and 395.38 is: 592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.18 : 1,688.52 = 395.38 : x
  2. Step 2: Convert to fraction form
    1,126.18/1,688.52 = 395.38/x
  3. Step 3: Cross multiply
    1,126.18x = 1,688.52 × 395.38
  4. Step 4: Simplify right side
    1,126.18x = 667,607.04
  5. Step 5: Solve for x
    x = 667,607.04/1,126.18
  6. Step 6: Final answer
    x = 592.81

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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.