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Finding the Fourth Proportional to 1,322.88, 1,983.60 and 706.48

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Solution

The fourth proportional to 1,322.88, 1,983.60 and 706.48 is: 1,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.88 : 1,983.60 = 706.48 : x
  2. Step 2: Convert to fraction form
    1,322.88/1,983.60 = 706.48/x
  3. Step 3: Cross multiply
    1,322.88x = 1,983.60 × 706.48
  4. Step 4: Simplify right side
    1,322.88x = 1,401,373.73
  5. Step 5: Solve for x
    x = 1,401,373.73/1,322.88
  6. Step 6: Final answer
    x = 1,059.34

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Why These Related Problems?

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