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Finding the Fourth Proportional to 847.74, 1,169.50 and 493.64

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Solution

The fourth proportional to 847.74, 1,169.50 and 493.64 is: 681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.74 : 1,169.50 = 493.64 : x
  2. Step 2: Convert to fraction form
    847.74/1,169.50 = 493.64/x
  3. Step 3: Cross multiply
    847.74x = 1,169.50 × 493.64
  4. Step 4: Simplify right side
    847.74x = 577,311.98
  5. Step 5: Solve for x
    x = 577,311.98/847.74
  6. Step 6: Final answer
    x = 681.00

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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.