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Finding the Fourth Proportional to 800.19, 1,103.07 and 578.79

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Solution

The fourth proportional to 800.19, 1,103.07 and 578.79 is: 797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,103.07 = 578.79 : x
  2. Step 2: Convert to fraction form
    800.19/1,103.07 = 578.79/x
  3. Step 3: Cross multiply
    800.19x = 1,103.07 × 578.79
  4. Step 4: Simplify right side
    800.19x = 638,445.89
  5. Step 5: Solve for x
    x = 638,445.89/800.19
  6. Step 6: Final answer
    x = 797.87

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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.