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Finding the Fourth Proportional to 1,126.90, 1,555.50 and 684.82

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Solution

The fourth proportional to 1,126.90, 1,555.50 and 684.82 is: 945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.90 : 1,555.50 = 684.82 : x
  2. Step 2: Convert to fraction form
    1,126.90/1,555.50 = 684.82/x
  3. Step 3: Cross multiply
    1,126.90x = 1,555.50 × 684.82
  4. Step 4: Simplify right side
    1,126.90x = 1,065,237.51
  5. Step 5: Solve for x
    x = 1,065,237.51/1,126.90
  6. Step 6: Final answer
    x = 945.28

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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.