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Finding the Fourth Proportional to 800.07, 1,102.98 and 622.47

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Solution

The fourth proportional to 800.07, 1,102.98 and 622.47 is: 858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.07 : 1,102.98 = 622.47 : x
  2. Step 2: Convert to fraction form
    800.07/1,102.98 = 622.47/x
  3. Step 3: Cross multiply
    800.07x = 1,102.98 × 622.47
  4. Step 4: Simplify right side
    800.07x = 686,571.96
  5. Step 5: Solve for x
    x = 686,571.96/800.07
  6. Step 6: Final answer
    x = 858.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.