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Finding the Fourth Proportional to 753.94, 1,045.25 and 727.21

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Solution

The fourth proportional to 753.94, 1,045.25 and 727.21 is: 1,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.94 : 1,045.25 = 727.21 : x
  2. Step 2: Convert to fraction form
    753.94/1,045.25 = 727.21/x
  3. Step 3: Cross multiply
    753.94x = 1,045.25 × 727.21
  4. Step 4: Simplify right side
    753.94x = 760,116.25
  5. Step 5: Solve for x
    x = 760,116.25/753.94
  6. Step 6: Final answer
    x = 1,008.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.