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Finding the Fourth Proportional to 1,257.62, 1,888.32 and 1,085.64

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Solution

The fourth proportional to 1,257.62, 1,888.32 and 1,085.64 is: 1,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.62 : 1,888.32 = 1,085.64 : x
  2. Step 2: Convert to fraction form
    1,257.62/1,888.32 = 1,085.64/x
  3. Step 3: Cross multiply
    1,257.62x = 1,888.32 × 1,085.64
  4. Step 4: Simplify right side
    1,257.62x = 2,050,035.72
  5. Step 5: Solve for x
    x = 2,050,035.72/1,257.62
  6. Step 6: Final answer
    x = 1,630.09

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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.