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Finding the Fourth Proportional to 800.14, 1,193.19 and 792.84

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Solution

The fourth proportional to 800.14, 1,193.19 and 792.84 is: 1,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.14 : 1,193.19 = 792.84 : x
  2. Step 2: Convert to fraction form
    800.14/1,193.19 = 792.84/x
  3. Step 3: Cross multiply
    800.14x = 1,193.19 × 792.84
  4. Step 4: Simplify right side
    800.14x = 946,008.76
  5. Step 5: Solve for x
    x = 946,008.76/800.14
  6. Step 6: Final answer
    x = 1,182.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.