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Finding the Fourth Proportional to 884.23, 1,220.10 and 511.14

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Solution

The fourth proportional to 884.23, 1,220.10 and 511.14 is: 705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.23 : 1,220.10 = 511.14 : x
  2. Step 2: Convert to fraction form
    884.23/1,220.10 = 511.14/x
  3. Step 3: Cross multiply
    884.23x = 1,220.10 × 511.14
  4. Step 4: Simplify right side
    884.23x = 623,637.34
  5. Step 5: Solve for x
    x = 623,637.34/884.23
  6. Step 6: Final answer
    x = 705.29

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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.