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Finding the Fourth Proportional to 1,332.37, 1,994.78 and 706.24

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Solution

The fourth proportional to 1,332.37, 1,994.78 and 706.24 is: 1,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.37 : 1,994.78 = 706.24 : x
  2. Step 2: Convert to fraction form
    1,332.37/1,994.78 = 706.24/x
  3. Step 3: Cross multiply
    1,332.37x = 1,994.78 × 706.24
  4. Step 4: Simplify right side
    1,332.37x = 1,408,790.21
  5. Step 5: Solve for x
    x = 1,408,790.21/1,332.37
  6. Step 6: Final answer
    x = 1,057.36

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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.