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Finding the Fourth Proportional to 1,271.50, 1,754.62 and 711.94

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Solution

The fourth proportional to 1,271.50, 1,754.62 and 711.94 is: 982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.50 : 1,754.62 = 711.94 : x
  2. Step 2: Convert to fraction form
    1,271.50/1,754.62 = 711.94/x
  3. Step 3: Cross multiply
    1,271.50x = 1,754.62 × 711.94
  4. Step 4: Simplify right side
    1,271.50x = 1,249,181.66
  5. Step 5: Solve for x
    x = 1,249,181.66/1,271.50
  6. Step 6: Final answer
    x = 982.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.