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Finding the Fourth Proportional to 867.02, 1,196.37 and 493.95

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Solution

The fourth proportional to 867.02, 1,196.37 and 493.95 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.02 : 1,196.37 = 493.95 : x
  2. Step 2: Convert to fraction form
    867.02/1,196.37 = 493.95/x
  3. Step 3: Cross multiply
    867.02x = 1,196.37 × 493.95
  4. Step 4: Simplify right side
    867.02x = 590,946.96
  5. Step 5: Solve for x
    x = 590,946.96/867.02
  6. Step 6: Final answer
    x = 681.59

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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.