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Finding the Fourth Proportional to 1,126.02, 1,689.09 and 395.71

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Solution

The fourth proportional to 1,126.02, 1,689.09 and 395.71 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.02 : 1,689.09 = 395.71 : x
  2. Step 2: Convert to fraction form
    1,126.02/1,689.09 = 395.71/x
  3. Step 3: Cross multiply
    1,126.02x = 1,689.09 × 395.71
  4. Step 4: Simplify right side
    1,126.02x = 668,384.10
  5. Step 5: Solve for x
    x = 668,384.10/1,126.02
  6. Step 6: Final answer
    x = 593.58

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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.