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Finding the Fourth Proportional to 1,223.04, 1,689.27 and 890.94

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Solution

The fourth proportional to 1,223.04, 1,689.27 and 890.94 is: 1,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,689.27 = 890.94 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,689.27 = 890.94/x
  3. Step 3: Cross multiply
    1,223.04x = 1,689.27 × 890.94
  4. Step 4: Simplify right side
    1,223.04x = 1,505,038.21
  5. Step 5: Solve for x
    x = 1,505,038.21/1,223.04
  6. Step 6: Final answer
    x = 1,230.57

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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.