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Finding the Fourth Proportional to 1,126.82, 1,554.74 and 684.69

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Solution

The fourth proportional to 1,126.82, 1,554.74 and 684.69 is: 944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,554.74 = 684.69 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,554.74 = 684.69/x
  3. Step 3: Cross multiply
    1,126.82x = 1,554.74 × 684.69
  4. Step 4: Simplify right side
    1,126.82x = 1,064,514.07
  5. Step 5: Solve for x
    x = 1,064,514.07/1,126.82
  6. Step 6: Final answer
    x = 944.71

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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.