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Finding the Fourth Proportional to 1,142.34, 1,576.08 and 700.44

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Solution

The fourth proportional to 1,142.34, 1,576.08 and 700.44 is: 966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,576.08 = 700.44 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,576.08 = 700.44/x
  3. Step 3: Cross multiply
    1,142.34x = 1,576.08 × 700.44
  4. Step 4: Simplify right side
    1,142.34x = 1,103,949.48
  5. Step 5: Solve for x
    x = 1,103,949.48/1,142.34
  6. Step 6: Final answer
    x = 966.39

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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.