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Finding the Fourth Proportional to 884.20, 1,220.14 and 511.12

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Solution

The fourth proportional to 884.20, 1,220.14 and 511.12 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.20 : 1,220.14 = 511.12 : x
  2. Step 2: Convert to fraction form
    884.20/1,220.14 = 511.12/x
  3. Step 3: Cross multiply
    884.20x = 1,220.14 × 511.12
  4. Step 4: Simplify right side
    884.20x = 623,637.96
  5. Step 5: Solve for x
    x = 623,637.96/884.20
  6. Step 6: Final answer
    x = 705.31

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1.5x scale

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.