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Finding the Fourth Proportional to 1,085.98, 1,499.23 and 838.58

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Solution

The fourth proportional to 1,085.98, 1,499.23 and 838.58 is: 1,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.98 : 1,499.23 = 838.58 : x
  2. Step 2: Convert to fraction form
    1,085.98/1,499.23 = 838.58/x
  3. Step 3: Cross multiply
    1,085.98x = 1,499.23 × 838.58
  4. Step 4: Simplify right side
    1,085.98x = 1,257,224.42
  5. Step 5: Solve for x
    x = 1,257,224.42/1,085.98
  6. Step 6: Final answer
    x = 1,157.68

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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.