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Finding the Fourth Proportional to 669.47, 1,004.06 and 182.45

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Solution

The fourth proportional to 669.47, 1,004.06 and 182.45 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 1,004.06 = 182.45 : x
  2. Step 2: Convert to fraction form
    669.47/1,004.06 = 182.45/x
  3. Step 3: Cross multiply
    669.47x = 1,004.06 × 182.45
  4. Step 4: Simplify right side
    669.47x = 183,193.71
  5. Step 5: Solve for x
    x = 183,193.71/669.47
  6. Step 6: Final answer
    x = 273.64

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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.