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Finding the Fourth Proportional to 1,143.20, 1,713.20 and 848.40

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Solution

The fourth proportional to 1,143.20, 1,713.20 and 848.40 is: 1,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.20 : 1,713.20 = 848.40 : x
  2. Step 2: Convert to fraction form
    1,143.20/1,713.20 = 848.40/x
  3. Step 3: Cross multiply
    1,143.20x = 1,713.20 × 848.40
  4. Step 4: Simplify right side
    1,143.20x = 1,453,478.88
  5. Step 5: Solve for x
    x = 1,453,478.88/1,143.20
  6. Step 6: Final answer
    x = 1,271.41

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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.