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Finding the Fourth Proportional to 1,763.72, 2,645.32 and 465.28

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Solution

The fourth proportional to 1,763.72, 2,645.32 and 465.28 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.72 : 2,645.32 = 465.28 : x
  2. Step 2: Convert to fraction form
    1,763.72/2,645.32 = 465.28/x
  3. Step 3: Cross multiply
    1,763.72x = 2,645.32 × 465.28
  4. Step 4: Simplify right side
    1,763.72x = 1,230,814.49
  5. Step 5: Solve for x
    x = 1,230,814.49/1,763.72
  6. Step 6: Final answer
    x = 697.85

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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.