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Finding the Fourth Proportional to 669.77, 1,004.58 and 182.86

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Solution

The fourth proportional to 669.77, 1,004.58 and 182.86 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.77 : 1,004.58 = 182.86 : x
  2. Step 2: Convert to fraction form
    669.77/1,004.58 = 182.86/x
  3. Step 3: Cross multiply
    669.77x = 1,004.58 × 182.86
  4. Step 4: Simplify right side
    669.77x = 183,694.07
  5. Step 5: Solve for x
    x = 183,694.07/669.77
  6. Step 6: Final answer
    x = 274.27

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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.