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Finding the Fourth Proportional to 1,169.07, 1,752.80 and 438.45

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Solution

The fourth proportional to 1,169.07, 1,752.80 and 438.45 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.07 : 1,752.80 = 438.45 : x
  2. Step 2: Convert to fraction form
    1,169.07/1,752.80 = 438.45/x
  3. Step 3: Cross multiply
    1,169.07x = 1,752.80 × 438.45
  4. Step 4: Simplify right side
    1,169.07x = 768,517.49
  5. Step 5: Solve for x
    x = 768,517.49/1,169.07
  6. Step 6: Final answer
    x = 657.37

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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.