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Finding the Fourth Proportional to 696.14, 1,045.12 and 367.32

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Solution

The fourth proportional to 696.14, 1,045.12 and 367.32 is: 551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 1,045.12 = 367.32 : x
  2. Step 2: Convert to fraction form
    696.14/1,045.12 = 367.32/x
  3. Step 3: Cross multiply
    696.14x = 1,045.12 × 367.32
  4. Step 4: Simplify right side
    696.14x = 383,893.48
  5. Step 5: Solve for x
    x = 383,893.48/696.14
  6. Step 6: Final answer
    x = 551.46

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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.