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Finding the Fourth Proportional to 1,126.75, 1,690.88 and 433.99

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Solution

The fourth proportional to 1,126.75, 1,690.88 and 433.99 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.75 : 1,690.88 = 433.99 : x
  2. Step 2: Convert to fraction form
    1,126.75/1,690.88 = 433.99/x
  3. Step 3: Cross multiply
    1,126.75x = 1,690.88 × 433.99
  4. Step 4: Simplify right side
    1,126.75x = 733,825.01
  5. Step 5: Solve for x
    x = 733,825.01/1,126.75
  6. Step 6: Final answer
    x = 651.28

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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.