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Finding the Fourth Proportional to 942.43, 1,412.28 and 844.93

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Solution

The fourth proportional to 942.43, 1,412.28 and 844.93 is: 1,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.43 : 1,412.28 = 844.93 : x
  2. Step 2: Convert to fraction form
    942.43/1,412.28 = 844.93/x
  3. Step 3: Cross multiply
    942.43x = 1,412.28 × 844.93
  4. Step 4: Simplify right side
    942.43x = 1,193,266.45
  5. Step 5: Solve for x
    x = 1,193,266.45/942.43
  6. Step 6: Final answer
    x = 1,266.16

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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.