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Finding the Fourth Proportional to 1,223.45, 1,833.56 and 572.82

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Solution

The fourth proportional to 1,223.45, 1,833.56 and 572.82 is: 858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.45 : 1,833.56 = 572.82 : x
  2. Step 2: Convert to fraction form
    1,223.45/1,833.56 = 572.82/x
  3. Step 3: Cross multiply
    1,223.45x = 1,833.56 × 572.82
  4. Step 4: Simplify right side
    1,223.45x = 1,050,296.98
  5. Step 5: Solve for x
    x = 1,050,296.98/1,223.45
  6. Step 6: Final answer
    x = 858.47

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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.