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Finding the Fourth Proportional to 795.61, 1,193.42 and 649.21

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Solution

The fourth proportional to 795.61, 1,193.42 and 649.21 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,193.42 = 649.21 : x
  2. Step 2: Convert to fraction form
    795.61/1,193.42 = 649.21/x
  3. Step 3: Cross multiply
    795.61x = 1,193.42 × 649.21
  4. Step 4: Simplify right side
    795.61x = 774,770.99
  5. Step 5: Solve for x
    x = 774,770.99/795.61
  6. Step 6: Final answer
    x = 973.81

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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.