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Finding the Fourth Proportional to 883.69, 1,219.30 and 600.22

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Solution

The fourth proportional to 883.69, 1,219.30 and 600.22 is: 828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.69 : 1,219.30 = 600.22 : x
  2. Step 2: Convert to fraction form
    883.69/1,219.30 = 600.22/x
  3. Step 3: Cross multiply
    883.69x = 1,219.30 × 600.22
  4. Step 4: Simplify right side
    883.69x = 731,848.25
  5. Step 5: Solve for x
    x = 731,848.25/883.69
  6. Step 6: Final answer
    x = 828.17

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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.