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Finding the Fourth Proportional to 767.06, 1,150.57 and 189.93

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Solution

The fourth proportional to 767.06, 1,150.57 and 189.93 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,150.57 = 189.93 : x
  2. Step 2: Convert to fraction form
    767.06/1,150.57 = 189.93/x
  3. Step 3: Cross multiply
    767.06x = 1,150.57 × 189.93
  4. Step 4: Simplify right side
    767.06x = 218,526.81
  5. Step 5: Solve for x
    x = 218,526.81/767.06
  6. Step 6: Final answer
    x = 284.89

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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.