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Finding the Fourth Proportional to 846.57, 1,267.53 and 553.22

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Solution

The fourth proportional to 846.57, 1,267.53 and 553.22 is: 828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.57 : 1,267.53 = 553.22 : x
  2. Step 2: Convert to fraction form
    846.57/1,267.53 = 553.22/x
  3. Step 3: Cross multiply
    846.57x = 1,267.53 × 553.22
  4. Step 4: Simplify right side
    846.57x = 701,222.95
  5. Step 5: Solve for x
    x = 701,222.95/846.57
  6. Step 6: Final answer
    x = 828.31

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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.