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Finding the Fourth Proportional to 800.69, 1,105.00 and 486.04

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Solution

The fourth proportional to 800.69, 1,105.00 and 486.04 is: 670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,105.00 = 486.04 : x
  2. Step 2: Convert to fraction form
    800.69/1,105.00 = 486.04/x
  3. Step 3: Cross multiply
    800.69x = 1,105.00 × 486.04
  4. Step 4: Simplify right side
    800.69x = 537,074.16
  5. Step 5: Solve for x
    x = 537,074.16/800.69
  6. Step 6: Final answer
    x = 670.77

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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.