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Finding the Fourth Proportional to 669.32, 1,007.70 and 523.86

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Solution

The fourth proportional to 669.32, 1,007.70 and 523.86 is: 788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 1,007.70 = 523.86 : x
  2. Step 2: Convert to fraction form
    669.32/1,007.70 = 523.86/x
  3. Step 3: Cross multiply
    669.32x = 1,007.70 × 523.86
  4. Step 4: Simplify right side
    669.32x = 527,893.72
  5. Step 5: Solve for x
    x = 527,893.72/669.32
  6. Step 6: Final answer
    x = 788.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.