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Finding the Fourth Proportional to 697.58, 1,046.30 and 423.59

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Solution

The fourth proportional to 697.58, 1,046.30 and 423.59 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 1,046.30 = 423.59 : x
  2. Step 2: Convert to fraction form
    697.58/1,046.30 = 423.59/x
  3. Step 3: Cross multiply
    697.58x = 1,046.30 × 423.59
  4. Step 4: Simplify right side
    697.58x = 443,202.71
  5. Step 5: Solve for x
    x = 443,202.71/697.58
  6. Step 6: Final answer
    x = 635.35

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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.