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Finding the Fourth Proportional to 698.26, 1,047.40 and 287.11

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Solution

The fourth proportional to 698.26, 1,047.40 and 287.11 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.26 : 1,047.40 = 287.11 : x
  2. Step 2: Convert to fraction form
    698.26/1,047.40 = 287.11/x
  3. Step 3: Cross multiply
    698.26x = 1,047.40 × 287.11
  4. Step 4: Simplify right side
    698.26x = 300,719.61
  5. Step 5: Solve for x
    x = 300,719.61/698.26
  6. Step 6: Final answer
    x = 430.67

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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.