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Finding the Fourth Proportional to 746.93, 1,118.45 and 725.00

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Solution

The fourth proportional to 746.93, 1,118.45 and 725.00 is: 1,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.93 : 1,118.45 = 725.00 : x
  2. Step 2: Convert to fraction form
    746.93/1,118.45 = 725.00/x
  3. Step 3: Cross multiply
    746.93x = 1,118.45 × 725.00
  4. Step 4: Simplify right side
    746.93x = 810,872.47
  5. Step 5: Solve for x
    x = 810,872.47/746.93
  6. Step 6: Final answer
    x = 1,085.60

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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.