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Finding the Fourth Proportional to 669.89, 1,004.76 and 182.98

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Solution

The fourth proportional to 669.89, 1,004.76 and 182.98 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.89 : 1,004.76 = 182.98 : x
  2. Step 2: Convert to fraction form
    669.89/1,004.76 = 182.98/x
  3. Step 3: Cross multiply
    669.89x = 1,004.76 × 182.98
  4. Step 4: Simplify right side
    669.89x = 183,852.93
  5. Step 5: Solve for x
    x = 183,852.93/669.89
  6. Step 6: Final answer
    x = 274.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.