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Finding the Fourth Proportional to 1,271.05, 1,904.75 and 722.07

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Solution

The fourth proportional to 1,271.05, 1,904.75 and 722.07 is: 1,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.05 : 1,904.75 = 722.07 : x
  2. Step 2: Convert to fraction form
    1,271.05/1,904.75 = 722.07/x
  3. Step 3: Cross multiply
    1,271.05x = 1,904.75 × 722.07
  4. Step 4: Simplify right side
    1,271.05x = 1,375,362.83
  5. Step 5: Solve for x
    x = 1,375,362.83/1,271.05
  6. Step 6: Final answer
    x = 1,082.07

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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.