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Finding the Fourth Proportional to 1,294.62, 1,774.91 and 1,271.30

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Solution

The fourth proportional to 1,294.62, 1,774.91 and 1,271.30 is: 1,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.62 : 1,774.91 = 1,271.30 : x
  2. Step 2: Convert to fraction form
    1,294.62/1,774.91 = 1,271.30/x
  3. Step 3: Cross multiply
    1,294.62x = 1,774.91 × 1,271.30
  4. Step 4: Simplify right side
    1,294.62x = 2,256,443.08
  5. Step 5: Solve for x
    x = 2,256,443.08/1,294.62
  6. Step 6: Final answer
    x = 1,742.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.