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Finding the Fourth Proportional to 1,235.91, 1,704.62 and 1,160.31

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Solution

The fourth proportional to 1,235.91, 1,704.62 and 1,160.31 is: 1,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.91 : 1,704.62 = 1,160.31 : x
  2. Step 2: Convert to fraction form
    1,235.91/1,704.62 = 1,160.31/x
  3. Step 3: Cross multiply
    1,235.91x = 1,704.62 × 1,160.31
  4. Step 4: Simplify right side
    1,235.91x = 1,977,881.83
  5. Step 5: Solve for x
    x = 1,977,881.83/1,235.91
  6. Step 6: Final answer
    x = 1,600.34

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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.