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Finding the Fourth Proportional to 1,418.90, 1,958.08 and 829.32

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Solution

The fourth proportional to 1,418.90, 1,958.08 and 829.32 is: 1,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.90 : 1,958.08 = 829.32 : x
  2. Step 2: Convert to fraction form
    1,418.90/1,958.08 = 829.32/x
  3. Step 3: Cross multiply
    1,418.90x = 1,958.08 × 829.32
  4. Step 4: Simplify right side
    1,418.90x = 1,623,870.76
  5. Step 5: Solve for x
    x = 1,623,870.76/1,418.90
  6. Step 6: Final answer
    x = 1,144.46

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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.