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Finding the Fourth Proportional to 1,114.30, 1,668.33 and 839.53

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Solution

The fourth proportional to 1,114.30, 1,668.33 and 839.53 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.30 : 1,668.33 = 839.53 : x
  2. Step 2: Convert to fraction form
    1,114.30/1,668.33 = 839.53/x
  3. Step 3: Cross multiply
    1,114.30x = 1,668.33 × 839.53
  4. Step 4: Simplify right side
    1,114.30x = 1,400,605.77
  5. Step 5: Solve for x
    x = 1,400,605.77/1,114.30
  6. Step 6: Final answer
    x = 1,256.94

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