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Finding the Fourth Proportional to 1,126.80, 1,554.60 and 684.84

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Solution

The fourth proportional to 1,126.80, 1,554.60 and 684.84 is: 944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.80 : 1,554.60 = 684.84 : x
  2. Step 2: Convert to fraction form
    1,126.80/1,554.60 = 684.84/x
  3. Step 3: Cross multiply
    1,126.80x = 1,554.60 × 684.84
  4. Step 4: Simplify right side
    1,126.80x = 1,064,652.26
  5. Step 5: Solve for x
    x = 1,064,652.26/1,126.80
  6. Step 6: Final answer
    x = 944.85

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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.