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Finding the Fourth Proportional to 833.07, 1,247.98 and 543.63

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Solution

The fourth proportional to 833.07, 1,247.98 and 543.63 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.07 : 1,247.98 = 543.63 : x
  2. Step 2: Convert to fraction form
    833.07/1,247.98 = 543.63/x
  3. Step 3: Cross multiply
    833.07x = 1,247.98 × 543.63
  4. Step 4: Simplify right side
    833.07x = 678,439.37
  5. Step 5: Solve for x
    x = 678,439.37/833.07
  6. Step 6: Final answer
    x = 814.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.