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Finding the Fourth Proportional to 698.39, 1,047.35 and 287.32

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Solution

The fourth proportional to 698.39, 1,047.35 and 287.32 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.39 : 1,047.35 = 287.32 : x
  2. Step 2: Convert to fraction form
    698.39/1,047.35 = 287.32/x
  3. Step 3: Cross multiply
    698.39x = 1,047.35 × 287.32
  4. Step 4: Simplify right side
    698.39x = 300,917.93
  5. Step 5: Solve for x
    x = 300,917.93/698.39
  6. Step 6: Final answer
    x = 430.87

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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.