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Finding the Fourth Proportional to 698.23, 1,047.34 and 313.21

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Solution

The fourth proportional to 698.23, 1,047.34 and 313.21 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.23 : 1,047.34 = 313.21 : x
  2. Step 2: Convert to fraction form
    698.23/1,047.34 = 313.21/x
  3. Step 3: Cross multiply
    698.23x = 1,047.34 × 313.21
  4. Step 4: Simplify right side
    698.23x = 328,037.36
  5. Step 5: Solve for x
    x = 328,037.36/698.23
  6. Step 6: Final answer
    x = 469.81

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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.