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Finding the Fourth Proportional to 669.15, 1,005.27 and 474.63

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Solution

The fourth proportional to 669.15, 1,005.27 and 474.63 is: 713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.15 : 1,005.27 = 474.63 : x
  2. Step 2: Convert to fraction form
    669.15/1,005.27 = 474.63/x
  3. Step 3: Cross multiply
    669.15x = 1,005.27 × 474.63
  4. Step 4: Simplify right side
    669.15x = 477,135.57
  5. Step 5: Solve for x
    x = 477,135.57/669.15
  6. Step 6: Final answer
    x = 713.04

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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.