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Finding the Fourth Proportional to 703.05, 971.49 and 609.49

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Solution

The fourth proportional to 703.05, 971.49 and 609.49 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.05 : 971.49 = 609.49 : x
  2. Step 2: Convert to fraction form
    703.05/971.49 = 609.49/x
  3. Step 3: Cross multiply
    703.05x = 971.49 × 609.49
  4. Step 4: Simplify right side
    703.05x = 592,113.44
  5. Step 5: Solve for x
    x = 592,113.44/703.05
  6. Step 6: Final answer
    x = 842.21

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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.