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Finding the Fourth Proportional to 698.30, 1,047.46 and 543.86

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Solution

The fourth proportional to 698.30, 1,047.46 and 543.86 is: 815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 1,047.46 = 543.86 : x
  2. Step 2: Convert to fraction form
    698.30/1,047.46 = 543.86/x
  3. Step 3: Cross multiply
    698.30x = 1,047.46 × 543.86
  4. Step 4: Simplify right side
    698.30x = 569,671.60
  5. Step 5: Solve for x
    x = 569,671.60/698.30
  6. Step 6: Final answer
    x = 815.80

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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.