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Finding the Fourth Proportional to 669.47, 923.20 and 512.07

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Solution

The fourth proportional to 669.47, 923.20 and 512.07 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 923.20 = 512.07 : x
  2. Step 2: Convert to fraction form
    669.47/923.20 = 512.07/x
  3. Step 3: Cross multiply
    669.47x = 923.20 × 512.07
  4. Step 4: Simplify right side
    669.47x = 472,743.47
  5. Step 5: Solve for x
    x = 472,743.47/669.47
  6. Step 6: Final answer
    x = 706.15

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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.