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Finding the Fourth Proportional to 1,271.29, 1,754.17 and 711.67

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Solution

The fourth proportional to 1,271.29, 1,754.17 and 711.67 is: 981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.29 : 1,754.17 = 711.67 : x
  2. Step 2: Convert to fraction form
    1,271.29/1,754.17 = 711.67/x
  3. Step 3: Cross multiply
    1,271.29x = 1,754.17 × 711.67
  4. Step 4: Simplify right side
    1,271.29x = 1,248,390.16
  5. Step 5: Solve for x
    x = 1,248,390.16/1,271.29
  6. Step 6: Final answer
    x = 981.99

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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.