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Finding the Fourth Proportional to 703.97, 1,055.96 and 462.03

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Solution

The fourth proportional to 703.97, 1,055.96 and 462.03 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.97 : 1,055.96 = 462.03 : x
  2. Step 2: Convert to fraction form
    703.97/1,055.96 = 462.03/x
  3. Step 3: Cross multiply
    703.97x = 1,055.96 × 462.03
  4. Step 4: Simplify right side
    703.97x = 487,877.61
  5. Step 5: Solve for x
    x = 487,877.61/703.97
  6. Step 6: Final answer
    x = 693.04

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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.