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Finding the Fourth Proportional to 669.10, 1,004.33 and 592.56

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Solution

The fourth proportional to 669.10, 1,004.33 and 592.56 is: 889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.10 : 1,004.33 = 592.56 : x
  2. Step 2: Convert to fraction form
    669.10/1,004.33 = 592.56/x
  3. Step 3: Cross multiply
    669.10x = 1,004.33 × 592.56
  4. Step 4: Simplify right side
    669.10x = 595,125.78
  5. Step 5: Solve for x
    x = 595,125.78/669.10
  6. Step 6: Final answer
    x = 889.44

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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.