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Finding the Fourth Proportional to 696.82, 1,045.60 and 301.45

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Solution

The fourth proportional to 696.82, 1,045.60 and 301.45 is: 452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 1,045.60 = 301.45 : x
  2. Step 2: Convert to fraction form
    696.82/1,045.60 = 301.45/x
  3. Step 3: Cross multiply
    696.82x = 1,045.60 × 301.45
  4. Step 4: Simplify right side
    696.82x = 315,196.12
  5. Step 5: Solve for x
    x = 315,196.12/696.82
  6. Step 6: Final answer
    x = 452.34

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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.