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Finding the Fourth Proportional to 884.08, 1,220.01 and 485.75

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Solution

The fourth proportional to 884.08, 1,220.01 and 485.75 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.08 : 1,220.01 = 485.75 : x
  2. Step 2: Convert to fraction form
    884.08/1,220.01 = 485.75/x
  3. Step 3: Cross multiply
    884.08x = 1,220.01 × 485.75
  4. Step 4: Simplify right side
    884.08x = 592,619.86
  5. Step 5: Solve for x
    x = 592,619.86/884.08
  6. Step 6: Final answer
    x = 670.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.