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Finding the Fourth Proportional to 1,193.02, 1,646.40 and 727

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Solution

The fourth proportional to 1,193.02, 1,646.40 and 727 is: 1,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.02 : 1,646.40 = 727 : x
  2. Step 2: Convert to fraction form
    1,193.02/1,646.40 = 727/x
  3. Step 3: Cross multiply
    1,193.02x = 1,646.40 × 727
  4. Step 4: Simplify right side
    1,193.02x = 1,196,932.80
  5. Step 5: Solve for x
    x = 1,196,932.80/1,193.02
  6. Step 6: Final answer
    x = 1,003.28

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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.