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Finding the Fourth Proportional to 698.52, 1,047.85 and 211.49

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Solution

The fourth proportional to 698.52, 1,047.85 and 211.49 is: 317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.52 : 1,047.85 = 211.49 : x
  2. Step 2: Convert to fraction form
    698.52/1,047.85 = 211.49/x
  3. Step 3: Cross multiply
    698.52x = 1,047.85 × 211.49
  4. Step 4: Simplify right side
    698.52x = 221,603.50
  5. Step 5: Solve for x
    x = 221,603.50/698.52
  6. Step 6: Final answer
    x = 317.25

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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.