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Finding the Fourth Proportional to 698.01, 1,046.26 and 332.02

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Solution

The fourth proportional to 698.01, 1,046.26 and 332.02 is: 497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.01 : 1,046.26 = 332.02 : x
  2. Step 2: Convert to fraction form
    698.01/1,046.26 = 332.02/x
  3. Step 3: Cross multiply
    698.01x = 1,046.26 × 332.02
  4. Step 4: Simplify right side
    698.01x = 347,379.25
  5. Step 5: Solve for x
    x = 347,379.25/698.01
  6. Step 6: Final answer
    x = 497.67

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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.