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Finding the Fourth Proportional to 698.42, 1,047.83 and 282.08

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Solution

The fourth proportional to 698.42, 1,047.83 and 282.08 is: 423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 1,047.83 = 282.08 : x
  2. Step 2: Convert to fraction form
    698.42/1,047.83 = 282.08/x
  3. Step 3: Cross multiply
    698.42x = 1,047.83 × 282.08
  4. Step 4: Simplify right side
    698.42x = 295,575.21
  5. Step 5: Solve for x
    x = 295,575.21/698.42
  6. Step 6: Final answer
    x = 423.20

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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.