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Finding the Fourth Proportional to 1,755.02, 2,632.42 and 659.30

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Solution

The fourth proportional to 1,755.02, 2,632.42 and 659.30 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.02 : 2,632.42 = 659.30 : x
  2. Step 2: Convert to fraction form
    1,755.02/2,632.42 = 659.30/x
  3. Step 3: Cross multiply
    1,755.02x = 2,632.42 × 659.30
  4. Step 4: Simplify right side
    1,755.02x = 1,735,554.51
  5. Step 5: Solve for x
    x = 1,735,554.51/1,755.02
  6. Step 6: Final answer
    x = 988.91

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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.