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Finding the Fourth Proportional to 669.29, 922.73 and 512.01

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Solution

The fourth proportional to 669.29, 922.73 and 512.01 is: 705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.29 : 922.73 = 512.01 : x
  2. Step 2: Convert to fraction form
    669.29/922.73 = 512.01/x
  3. Step 3: Cross multiply
    669.29x = 922.73 × 512.01
  4. Step 4: Simplify right side
    669.29x = 472,444.43
  5. Step 5: Solve for x
    x = 472,444.43/669.29
  6. Step 6: Final answer
    x = 705.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.