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Finding the Fourth Proportional to 1,126.12, 1,689.18 and 356.68

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Solution

The fourth proportional to 1,126.12, 1,689.18 and 356.68 is: 535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.12 : 1,689.18 = 356.68 : x
  2. Step 2: Convert to fraction form
    1,126.12/1,689.18 = 356.68/x
  3. Step 3: Cross multiply
    1,126.12x = 1,689.18 × 356.68
  4. Step 4: Simplify right side
    1,126.12x = 602,496.72
  5. Step 5: Solve for x
    x = 602,496.72/1,126.12
  6. Step 6: Final answer
    x = 535.02

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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.