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Finding the Fourth Proportional to 696.52, 1,045.54 and 404.34

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Solution

The fourth proportional to 696.52, 1,045.54 and 404.34 is: 606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.52 : 1,045.54 = 404.34 : x
  2. Step 2: Convert to fraction form
    696.52/1,045.54 = 404.34/x
  3. Step 3: Cross multiply
    696.52x = 1,045.54 × 404.34
  4. Step 4: Simplify right side
    696.52x = 422,753.64
  5. Step 5: Solve for x
    x = 422,753.64/696.52
  6. Step 6: Final answer
    x = 606.95

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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.