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Finding the Fourth Proportional to 682.95, 1,023.04 and 357.63

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Solution

The fourth proportional to 682.95, 1,023.04 and 357.63 is: 535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 1,023.04 = 357.63 : x
  2. Step 2: Convert to fraction form
    682.95/1,023.04 = 357.63/x
  3. Step 3: Cross multiply
    682.95x = 1,023.04 × 357.63
  4. Step 4: Simplify right side
    682.95x = 365,869.80
  5. Step 5: Solve for x
    x = 365,869.80/682.95
  6. Step 6: Final answer
    x = 535.72

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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.