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Finding the Fourth Proportional to 1,222.94, 1,834.74 and 529.31

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Solution

The fourth proportional to 1,222.94, 1,834.74 and 529.31 is: 794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.94 : 1,834.74 = 529.31 : x
  2. Step 2: Convert to fraction form
    1,222.94/1,834.74 = 529.31/x
  3. Step 3: Cross multiply
    1,222.94x = 1,834.74 × 529.31
  4. Step 4: Simplify right side
    1,222.94x = 971,146.23
  5. Step 5: Solve for x
    x = 971,146.23/1,222.94
  6. Step 6: Final answer
    x = 794.11

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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.