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Finding the Fourth Proportional to 942.10, 1,415.85 and 823.30

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Solution

The fourth proportional to 942.10, 1,415.85 and 823.30 is: 1,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 1,415.85 = 823.30 : x
  2. Step 2: Convert to fraction form
    942.10/1,415.85 = 823.30/x
  3. Step 3: Cross multiply
    942.10x = 1,415.85 × 823.30
  4. Step 4: Simplify right side
    942.10x = 1,165,669.31
  5. Step 5: Solve for x
    x = 1,165,669.31/942.10
  6. Step 6: Final answer
    x = 1,237.31

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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.