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Finding the Fourth Proportional to 703.66, 1,055.18 and 459.44

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Solution

The fourth proportional to 703.66, 1,055.18 and 459.44 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 1,055.18 = 459.44 : x
  2. Step 2: Convert to fraction form
    703.66/1,055.18 = 459.44/x
  3. Step 3: Cross multiply
    703.66x = 1,055.18 × 459.44
  4. Step 4: Simplify right side
    703.66x = 484,791.90
  5. Step 5: Solve for x
    x = 484,791.90/703.66
  6. Step 6: Final answer
    x = 688.96

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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.