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Finding the Fourth Proportional to 906.55, 1,271.60 and 906.55

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Solution

The fourth proportional to 906.55, 1,271.60 and 906.55 is: 1,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.55 : 1,271.60 = 906.55 : x
  2. Step 2: Convert to fraction form
    906.55/1,271.60 = 906.55/x
  3. Step 3: Cross multiply
    906.55x = 1,271.60 × 906.55
  4. Step 4: Simplify right side
    906.55x = 1,152,768.98
  5. Step 5: Solve for x
    x = 1,152,768.98/906.55
  6. Step 6: Final answer
    x = 1,271.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.