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Finding the Fourth Proportional to 685.30, 1,026.77 and 479.49

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Solution

The fourth proportional to 685.30, 1,026.77 and 479.49 is: 718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.30 : 1,026.77 = 479.49 : x
  2. Step 2: Convert to fraction form
    685.30/1,026.77 = 479.49/x
  3. Step 3: Cross multiply
    685.30x = 1,026.77 × 479.49
  4. Step 4: Simplify right side
    685.30x = 492,323.55
  5. Step 5: Solve for x
    x = 492,323.55/685.30
  6. Step 6: Final answer
    x = 718.41

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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.