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Finding the Fourth Proportional to 698.14, 1,045.74 and 332.56

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Solution

The fourth proportional to 698.14, 1,045.74 and 332.56 is: 498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,045.74 = 332.56 : x
  2. Step 2: Convert to fraction form
    698.14/1,045.74 = 332.56/x
  3. Step 3: Cross multiply
    698.14x = 1,045.74 × 332.56
  4. Step 4: Simplify right side
    698.14x = 347,773.85
  5. Step 5: Solve for x
    x = 347,773.85/698.14
  6. Step 6: Final answer
    x = 498.14

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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.