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Finding the Fourth Proportional to 1,223.18, 1,688.31 and 757.82

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Solution

The fourth proportional to 1,223.18, 1,688.31 and 757.82 is: 1,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.18 : 1,688.31 = 757.82 : x
  2. Step 2: Convert to fraction form
    1,223.18/1,688.31 = 757.82/x
  3. Step 3: Cross multiply
    1,223.18x = 1,688.31 × 757.82
  4. Step 4: Simplify right side
    1,223.18x = 1,279,435.08
  5. Step 5: Solve for x
    x = 1,279,435.08/1,223.18
  6. Step 6: Final answer
    x = 1,045.99

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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.