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Finding the Fourth Proportional to 703.98, 971.26 and 455.63

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Solution

The fourth proportional to 703.98, 971.26 and 455.63 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 971.26 = 455.63 : x
  2. Step 2: Convert to fraction form
    703.98/971.26 = 455.63/x
  3. Step 3: Cross multiply
    703.98x = 971.26 × 455.63
  4. Step 4: Simplify right side
    703.98x = 442,529.20
  5. Step 5: Solve for x
    x = 442,529.20/703.98
  6. Step 6: Final answer
    x = 628.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.