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Finding the Fourth Proportional to 1,142.69, 1,576.86 and 700.52

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Solution

The fourth proportional to 1,142.69, 1,576.86 and 700.52 is: 966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.69 : 1,576.86 = 700.52 : x
  2. Step 2: Convert to fraction form
    1,142.69/1,576.86 = 700.52/x
  3. Step 3: Cross multiply
    1,142.69x = 1,576.86 × 700.52
  4. Step 4: Simplify right side
    1,142.69x = 1,104,621.97
  5. Step 5: Solve for x
    x = 1,104,621.97/1,142.69
  6. Step 6: Final answer
    x = 966.69

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