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Finding the Fourth Proportional to 1,126.28, 1,689.66 and 356.80

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Solution

The fourth proportional to 1,126.28, 1,689.66 and 356.80 is: 535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.28 : 1,689.66 = 356.80 : x
  2. Step 2: Convert to fraction form
    1,126.28/1,689.66 = 356.80/x
  3. Step 3: Cross multiply
    1,126.28x = 1,689.66 × 356.80
  4. Step 4: Simplify right side
    1,126.28x = 602,870.69
  5. Step 5: Solve for x
    x = 602,870.69/1,126.28
  6. Step 6: Final answer
    x = 535.28

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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.