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Finding the Fourth Proportional to 669.71, 1,004.57 and 182.84

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Solution

The fourth proportional to 669.71, 1,004.57 and 182.84 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.71 : 1,004.57 = 182.84 : x
  2. Step 2: Convert to fraction form
    669.71/1,004.57 = 182.84/x
  3. Step 3: Cross multiply
    669.71x = 1,004.57 × 182.84
  4. Step 4: Simplify right side
    669.71x = 183,674.66
  5. Step 5: Solve for x
    x = 183,674.66/669.71
  6. Step 6: Final answer
    x = 274.26

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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.