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Finding the Fourth Proportional to 1,223.34, 1,832.98 and 573.18

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Solution

The fourth proportional to 1,223.34, 1,832.98 and 573.18 is: 858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,832.98 = 573.18 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,832.98 = 573.18/x
  3. Step 3: Cross multiply
    1,223.34x = 1,832.98 × 573.18
  4. Step 4: Simplify right side
    1,223.34x = 1,050,627.48
  5. Step 5: Solve for x
    x = 1,050,627.48/1,223.34
  6. Step 6: Final answer
    x = 858.82

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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.