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Finding the Fourth Proportional to 1,271.66, 1,906.34 and 577.96

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Solution

The fourth proportional to 1,271.66, 1,906.34 and 577.96 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.66 : 1,906.34 = 577.96 : x
  2. Step 2: Convert to fraction form
    1,271.66/1,906.34 = 577.96/x
  3. Step 3: Cross multiply
    1,271.66x = 1,906.34 × 577.96
  4. Step 4: Simplify right side
    1,271.66x = 1,101,775.84
  5. Step 5: Solve for x
    x = 1,101,775.84/1,271.66
  6. Step 6: Final answer
    x = 866.41

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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.