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Finding the Fourth Proportional to 742.83, 1,023.51 and 493.74

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Solution

The fourth proportional to 742.83, 1,023.51 and 493.74 is: 680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.83 : 1,023.51 = 493.74 : x
  2. Step 2: Convert to fraction form
    742.83/1,023.51 = 493.74/x
  3. Step 3: Cross multiply
    742.83x = 1,023.51 × 493.74
  4. Step 4: Simplify right side
    742.83x = 505,347.83
  5. Step 5: Solve for x
    x = 505,347.83/742.83
  6. Step 6: Final answer
    x = 680.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.