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Finding the Fourth Proportional to 1,142.34, 1,576.42 and 793.23

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Solution

The fourth proportional to 1,142.34, 1,576.42 and 793.23 is: 1,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,576.42 = 793.23 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,576.42 = 793.23/x
  3. Step 3: Cross multiply
    1,142.34x = 1,576.42 × 793.23
  4. Step 4: Simplify right side
    1,142.34x = 1,250,455.75
  5. Step 5: Solve for x
    x = 1,250,455.75/1,142.34
  6. Step 6: Final answer
    x = 1,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.