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Finding the Fourth Proportional to 1,765.37, 2,648.75 and 725.87

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Solution

The fourth proportional to 1,765.37, 2,648.75 and 725.87 is: 1,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.37 : 2,648.75 = 725.87 : x
  2. Step 2: Convert to fraction form
    1,765.37/2,648.75 = 725.87/x
  3. Step 3: Cross multiply
    1,765.37x = 2,648.75 × 725.87
  4. Step 4: Simplify right side
    1,765.37x = 1,922,631.29
  5. Step 5: Solve for x
    x = 1,922,631.29/1,765.37
  6. Step 6: Final answer
    x = 1,089.08

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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.