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Finding the Fourth Proportional to 1,142.83, 1,576.23 and 700.36

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Solution

The fourth proportional to 1,142.83, 1,576.23 and 700.36 is: 965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.83 : 1,576.23 = 700.36 : x
  2. Step 2: Convert to fraction form
    1,142.83/1,576.23 = 700.36/x
  3. Step 3: Cross multiply
    1,142.83x = 1,576.23 × 700.36
  4. Step 4: Simplify right side
    1,142.83x = 1,103,928.44
  5. Step 5: Solve for x
    x = 1,103,928.44/1,142.83
  6. Step 6: Final answer
    x = 965.96

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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.