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Finding the Fourth Proportional to 942.54, 1,409.70 and 824.28

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Solution

The fourth proportional to 942.54, 1,409.70 and 824.28 is: 1,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.54 : 1,409.70 = 824.28 : x
  2. Step 2: Convert to fraction form
    942.54/1,409.70 = 824.28/x
  3. Step 3: Cross multiply
    942.54x = 1,409.70 × 824.28
  4. Step 4: Simplify right side
    942.54x = 1,161,987.52
  5. Step 5: Solve for x
    x = 1,161,987.52/942.54
  6. Step 6: Final answer
    x = 1,232.83

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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.