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Finding the Fourth Proportional to 699.15, 965.12 and 472.07

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Solution

The fourth proportional to 699.15, 965.12 and 472.07 is: 651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.15 : 965.12 = 472.07 : x
  2. Step 2: Convert to fraction form
    699.15/965.12 = 472.07/x
  3. Step 3: Cross multiply
    699.15x = 965.12 × 472.07
  4. Step 4: Simplify right side
    699.15x = 455,604.20
  5. Step 5: Solve for x
    x = 455,604.20/699.15
  6. Step 6: Final answer
    x = 651.65

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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.