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Finding the Fourth Proportional to 1,271.95, 1,907.90 and 655.82

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Solution

The fourth proportional to 1,271.95, 1,907.90 and 655.82 is: 983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.95 : 1,907.90 = 655.82 : x
  2. Step 2: Convert to fraction form
    1,271.95/1,907.90 = 655.82/x
  3. Step 3: Cross multiply
    1,271.95x = 1,907.90 × 655.82
  4. Step 4: Simplify right side
    1,271.95x = 1,251,238.98
  5. Step 5: Solve for x
    x = 1,251,238.98/1,271.95
  6. Step 6: Final answer
    x = 983.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.