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Finding the Fourth Proportional to 824.21, 1,135.91 and 800.51

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Solution

The fourth proportional to 824.21, 1,135.91 and 800.51 is: 1,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,135.91 = 800.51 : x
  2. Step 2: Convert to fraction form
    824.21/1,135.91 = 800.51/x
  3. Step 3: Cross multiply
    824.21x = 1,135.91 × 800.51
  4. Step 4: Simplify right side
    824.21x = 909,303.31
  5. Step 5: Solve for x
    x = 909,303.31/824.21
  6. Step 6: Final answer
    x = 1,103.25

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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.