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Finding the Fourth Proportional to 703.98, 1,053.54 and 622.98

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Solution

The fourth proportional to 703.98, 1,053.54 and 622.98 is: 932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 1,053.54 = 622.98 : x
  2. Step 2: Convert to fraction form
    703.98/1,053.54 = 622.98/x
  3. Step 3: Cross multiply
    703.98x = 1,053.54 × 622.98
  4. Step 4: Simplify right side
    703.98x = 656,334.35
  5. Step 5: Solve for x
    x = 656,334.35/703.98
  6. Step 6: Final answer
    x = 932.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.