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Finding the Fourth Proportional to 1,208.48, 1,668.43 and 830.98

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Solution

The fourth proportional to 1,208.48, 1,668.43 and 830.98 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.48 : 1,668.43 = 830.98 : x
  2. Step 2: Convert to fraction form
    1,208.48/1,668.43 = 830.98/x
  3. Step 3: Cross multiply
    1,208.48x = 1,668.43 × 830.98
  4. Step 4: Simplify right side
    1,208.48x = 1,386,431.96
  5. Step 5: Solve for x
    x = 1,386,431.96/1,208.48
  6. Step 6: Final answer
    x = 1,147.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.