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Finding the Fourth Proportional to 1,147.21, 1,583.17 and 704.86

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Solution

The fourth proportional to 1,147.21, 1,583.17 and 704.86 is: 972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.21 : 1,583.17 = 704.86 : x
  2. Step 2: Convert to fraction form
    1,147.21/1,583.17 = 704.86/x
  3. Step 3: Cross multiply
    1,147.21x = 1,583.17 × 704.86
  4. Step 4: Simplify right side
    1,147.21x = 1,115,913.21
  5. Step 5: Solve for x
    x = 1,115,913.21/1,147.21
  6. Step 6: Final answer
    x = 972.72

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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.