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Finding the Fourth Proportional to 1,188.12, 1,782.99 and 823.26

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Solution

The fourth proportional to 1,188.12, 1,782.99 and 823.26 is: 1,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,782.99 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,782.99 = 823.26/x
  3. Step 3: Cross multiply
    1,188.12x = 1,782.99 × 823.26
  4. Step 4: Simplify right side
    1,188.12x = 1,467,864.35
  5. Step 5: Solve for x
    x = 1,467,864.35/1,188.12
  6. Step 6: Final answer
    x = 1,235.45

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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.