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Finding the Fourth Proportional to 1,755.98, 2,633.79 and 457.45

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Solution

The fourth proportional to 1,755.98, 2,633.79 and 457.45 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.98 : 2,633.79 = 457.45 : x
  2. Step 2: Convert to fraction form
    1,755.98/2,633.79 = 457.45/x
  3. Step 3: Cross multiply
    1,755.98x = 2,633.79 × 457.45
  4. Step 4: Simplify right side
    1,755.98x = 1,204,822.37
  5. Step 5: Solve for x
    x = 1,204,822.37/1,755.98
  6. Step 6: Final answer
    x = 686.13

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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.