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Finding the Fourth Proportional to 1,163.50, 1,744.84 and 470.00

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Solution

The fourth proportional to 1,163.50, 1,744.84 and 470.00 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.50 : 1,744.84 = 470.00 : x
  2. Step 2: Convert to fraction form
    1,163.50/1,744.84 = 470.00/x
  3. Step 3: Cross multiply
    1,163.50x = 1,744.84 × 470.00
  4. Step 4: Simplify right side
    1,163.50x = 820,079.75
  5. Step 5: Solve for x
    x = 820,079.75/1,163.50
  6. Step 6: Final answer
    x = 704.84

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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.