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Finding the Fourth Proportional to 703.84, 971.09 and 610.44

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Solution

The fourth proportional to 703.84, 971.09 and 610.44 is: 842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 971.09 = 610.44 : x
  2. Step 2: Convert to fraction form
    703.84/971.09 = 610.44/x
  3. Step 3: Cross multiply
    703.84x = 971.09 × 610.44
  4. Step 4: Simplify right side
    703.84x = 592,787.77
  5. Step 5: Solve for x
    x = 592,787.77/703.84
  6. Step 6: Final answer
    x = 842.22

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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.