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Finding the Fourth Proportional to 1,765.23, 2,647.51 and 532.36

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Solution

The fourth proportional to 1,765.23, 2,647.51 and 532.36 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.23 : 2,647.51 = 532.36 : x
  2. Step 2: Convert to fraction form
    1,765.23/2,647.51 = 532.36/x
  3. Step 3: Cross multiply
    1,765.23x = 2,647.51 × 532.36
  4. Step 4: Simplify right side
    1,765.23x = 1,409,414.77
  5. Step 5: Solve for x
    x = 1,409,414.77/1,765.23
  6. Step 6: Final answer
    x = 798.43

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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.