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Finding the Fourth Proportional to 867.95, 1,305.05 and 800.30

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Solution

The fourth proportional to 867.95, 1,305.05 and 800.30 is: 1,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.95 : 1,305.05 = 800.30 : x
  2. Step 2: Convert to fraction form
    867.95/1,305.05 = 800.30/x
  3. Step 3: Cross multiply
    867.95x = 1,305.05 × 800.30
  4. Step 4: Simplify right side
    867.95x = 1,044,431.52
  5. Step 5: Solve for x
    x = 1,044,431.52/867.95
  6. Step 6: Final answer
    x = 1,203.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.