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Finding the Fourth Proportional to 1,448.37, 2,170.64 and 657.14

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Solution

The fourth proportional to 1,448.37, 2,170.64 and 657.14 is: 984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.37 : 2,170.64 = 657.14 : x
  2. Step 2: Convert to fraction form
    1,448.37/2,170.64 = 657.14/x
  3. Step 3: Cross multiply
    1,448.37x = 2,170.64 × 657.14
  4. Step 4: Simplify right side
    1,448.37x = 1,426,400.23
  5. Step 5: Solve for x
    x = 1,426,400.23/1,448.37
  6. Step 6: Final answer
    x = 984.83

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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.