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Finding the Fourth Proportional to 1,126.90, 1,554.84 and 733.86

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Solution

The fourth proportional to 1,126.90, 1,554.84 and 733.86 is: 1,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.90 : 1,554.84 = 733.86 : x
  2. Step 2: Convert to fraction form
    1,126.90/1,554.84 = 733.86/x
  3. Step 3: Cross multiply
    1,126.90x = 1,554.84 × 733.86
  4. Step 4: Simplify right side
    1,126.90x = 1,141,034.88
  5. Step 5: Solve for x
    x = 1,141,034.88/1,126.90
  6. Step 6: Final answer
    x = 1,012.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.