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Finding the Fourth Proportional to 1,283.18, 1,923.22 and 588.89

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Solution

The fourth proportional to 1,283.18, 1,923.22 and 588.89 is: 882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.18 : 1,923.22 = 588.89 : x
  2. Step 2: Convert to fraction form
    1,283.18/1,923.22 = 588.89/x
  3. Step 3: Cross multiply
    1,283.18x = 1,923.22 × 588.89
  4. Step 4: Simplify right side
    1,283.18x = 1,132,553.94
  5. Step 5: Solve for x
    x = 1,132,553.94/1,283.18
  6. Step 6: Final answer
    x = 882.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.