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Finding the Fourth Proportional to 1,271.19, 1,754.06 and 798.86

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Solution

The fourth proportional to 1,271.19, 1,754.06 and 798.86 is: 1,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.19 : 1,754.06 = 798.86 : x
  2. Step 2: Convert to fraction form
    1,271.19/1,754.06 = 798.86/x
  3. Step 3: Cross multiply
    1,271.19x = 1,754.06 × 798.86
  4. Step 4: Simplify right side
    1,271.19x = 1,401,248.76
  5. Step 5: Solve for x
    x = 1,401,248.76/1,271.19
  6. Step 6: Final answer
    x = 1,102.31

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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.