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Finding the Fourth Proportional to 1,316.42, 1,974.35 and 846.48

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Solution

The fourth proportional to 1,316.42, 1,974.35 and 846.48 is: 1,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.42 : 1,974.35 = 846.48 : x
  2. Step 2: Convert to fraction form
    1,316.42/1,974.35 = 846.48/x
  3. Step 3: Cross multiply
    1,316.42x = 1,974.35 × 846.48
  4. Step 4: Simplify right side
    1,316.42x = 1,671,243.56
  5. Step 5: Solve for x
    x = 1,671,243.56/1,316.42
  6. Step 6: Final answer
    x = 1,269.54

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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.