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Finding the Fourth Proportional to 1,347.10, 1,858.75 and 850.42

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Solution

The fourth proportional to 1,347.10, 1,858.75 and 850.42 is: 1,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.10 : 1,858.75 = 850.42 : x
  2. Step 2: Convert to fraction form
    1,347.10/1,858.75 = 850.42/x
  3. Step 3: Cross multiply
    1,347.10x = 1,858.75 × 850.42
  4. Step 4: Simplify right side
    1,347.10x = 1,580,718.18
  5. Step 5: Solve for x
    x = 1,580,718.18/1,347.10
  6. Step 6: Final answer
    x = 1,173.42

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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.