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Finding the Fourth Proportional to 1,271.03, 1,905.24 and 722.05

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Solution

The fourth proportional to 1,271.03, 1,905.24 and 722.05 is: 1,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.03 : 1,905.24 = 722.05 : x
  2. Step 2: Convert to fraction form
    1,271.03/1,905.24 = 722.05/x
  3. Step 3: Cross multiply
    1,271.03x = 1,905.24 × 722.05
  4. Step 4: Simplify right side
    1,271.03x = 1,375,674.93
  5. Step 5: Solve for x
    x = 1,375,674.93/1,271.03
  6. Step 6: Final answer
    x = 1,082.33

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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.