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Finding the Fourth Proportional to 1,169.69, 1,752.86 and 553.07

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Solution

The fourth proportional to 1,169.69, 1,752.86 and 553.07 is: 828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.69 : 1,752.86 = 553.07 : x
  2. Step 2: Convert to fraction form
    1,169.69/1,752.86 = 553.07/x
  3. Step 3: Cross multiply
    1,169.69x = 1,752.86 × 553.07
  4. Step 4: Simplify right side
    1,169.69x = 969,454.28
  5. Step 5: Solve for x
    x = 969,454.28/1,169.69
  6. Step 6: Final answer
    x = 828.81

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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.