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Finding the Fourth Proportional to 685.37, 1,026.63 and 510

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Solution

The fourth proportional to 685.37, 1,026.63 and 510 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.37 : 1,026.63 = 510 : x
  2. Step 2: Convert to fraction form
    685.37/1,026.63 = 510/x
  3. Step 3: Cross multiply
    685.37x = 1,026.63 × 510
  4. Step 4: Simplify right side
    685.37x = 523,581.30
  5. Step 5: Solve for x
    x = 523,581.30/685.37
  6. Step 6: Final answer
    x = 763.95

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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.