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Finding the Fourth Proportional to 942.56, 1,411.68 and 845.36

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Solution

The fourth proportional to 942.56, 1,411.68 and 845.36 is: 1,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 1,411.68 = 845.36 : x
  2. Step 2: Convert to fraction form
    942.56/1,411.68 = 845.36/x
  3. Step 3: Cross multiply
    942.56x = 1,411.68 × 845.36
  4. Step 4: Simplify right side
    942.56x = 1,193,377.80
  5. Step 5: Solve for x
    x = 1,193,377.80/942.56
  6. Step 6: Final answer
    x = 1,266.10

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Why These Related Problems?

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