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Finding the Fourth Proportional to 885.68, 1,220.98 and 698.36

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Solution

The fourth proportional to 885.68, 1,220.98 and 698.36 is: 962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.68 : 1,220.98 = 698.36 : x
  2. Step 2: Convert to fraction form
    885.68/1,220.98 = 698.36/x
  3. Step 3: Cross multiply
    885.68x = 1,220.98 × 698.36
  4. Step 4: Simplify right side
    885.68x = 852,683.59
  5. Step 5: Solve for x
    x = 852,683.59/885.68
  6. Step 6: Final answer
    x = 962.74

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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.