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Finding the Fourth Proportional to 1,235.66, 1,855.31 and 688.91

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Solution

The fourth proportional to 1,235.66, 1,855.31 and 688.91 is: 1,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.66 : 1,855.31 = 688.91 : x
  2. Step 2: Convert to fraction form
    1,235.66/1,855.31 = 688.91/x
  3. Step 3: Cross multiply
    1,235.66x = 1,855.31 × 688.91
  4. Step 4: Simplify right side
    1,235.66x = 1,278,128.89
  5. Step 5: Solve for x
    x = 1,278,128.89/1,235.66
  6. Step 6: Final answer
    x = 1,034.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.