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Finding the Fourth Proportional to 882.02, 1,222.75 and 835.20

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Solution

The fourth proportional to 882.02, 1,222.75 and 835.20 is: 1,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.02 : 1,222.75 = 835.20 : x
  2. Step 2: Convert to fraction form
    882.02/1,222.75 = 835.20/x
  3. Step 3: Cross multiply
    882.02x = 1,222.75 × 835.20
  4. Step 4: Simplify right side
    882.02x = 1,021,240.80
  5. Step 5: Solve for x
    x = 1,021,240.80/882.02
  6. Step 6: Final answer
    x = 1,157.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.