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Finding the Fourth Proportional to 1,418.58, 1,957.65 and 829.14

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Solution

The fourth proportional to 1,418.58, 1,957.65 and 829.14 is: 1,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.58 : 1,957.65 = 829.14 : x
  2. Step 2: Convert to fraction form
    1,418.58/1,957.65 = 829.14/x
  3. Step 3: Cross multiply
    1,418.58x = 1,957.65 × 829.14
  4. Step 4: Simplify right side
    1,418.58x = 1,623,165.92
  5. Step 5: Solve for x
    x = 1,623,165.92/1,418.58
  6. Step 6: Final answer
    x = 1,144.22

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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.