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Finding the Fourth Proportional to 1,028.69, 1,418.15 and 870.69

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Solution

The fourth proportional to 1,028.69, 1,418.15 and 870.69 is: 1,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.69 : 1,418.15 = 870.69 : x
  2. Step 2: Convert to fraction form
    1,028.69/1,418.15 = 870.69/x
  3. Step 3: Cross multiply
    1,028.69x = 1,418.15 × 870.69
  4. Step 4: Simplify right side
    1,028.69x = 1,234,771.20
  5. Step 5: Solve for x
    x = 1,234,771.20/1,028.69
  6. Step 6: Final answer
    x = 1,200.34

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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.