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Finding the Fourth Proportional to 1,281.56, 1,768.43 and 722.02

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Solution

The fourth proportional to 1,281.56, 1,768.43 and 722.02 is: 996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.56 : 1,768.43 = 722.02 : x
  2. Step 2: Convert to fraction form
    1,281.56/1,768.43 = 722.02/x
  3. Step 3: Cross multiply
    1,281.56x = 1,768.43 × 722.02
  4. Step 4: Simplify right side
    1,281.56x = 1,276,841.83
  5. Step 5: Solve for x
    x = 1,276,841.83/1,281.56
  6. Step 6: Final answer
    x = 996.32

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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.