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Finding the Fourth Proportional to 1,051.75, 1,577.64 and 271.76

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Solution

The fourth proportional to 1,051.75, 1,577.64 and 271.76 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.75 : 1,577.64 = 271.76 : x
  2. Step 2: Convert to fraction form
    1,051.75/1,577.64 = 271.76/x
  3. Step 3: Cross multiply
    1,051.75x = 1,577.64 × 271.76
  4. Step 4: Simplify right side
    1,051.75x = 428,737.01
  5. Step 5: Solve for x
    x = 428,737.01/1,051.75
  6. Step 6: Final answer
    x = 407.64

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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.