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Finding the Fourth Proportional to 681.74, 1,023.02 and 357.20

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Solution

The fourth proportional to 681.74, 1,023.02 and 357.20 is: 536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.74 : 1,023.02 = 357.20 : x
  2. Step 2: Convert to fraction form
    681.74/1,023.02 = 357.20/x
  3. Step 3: Cross multiply
    681.74x = 1,023.02 × 357.20
  4. Step 4: Simplify right side
    681.74x = 365,420.96
  5. Step 5: Solve for x
    x = 365,420.96/681.74
  6. Step 6: Final answer
    x = 536.01

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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.