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Finding the Fourth Proportional to 1,373.05, 1,894.62 and 775.45

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Solution

The fourth proportional to 1,373.05, 1,894.62 and 775.45 is: 1,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.05 : 1,894.62 = 775.45 : x
  2. Step 2: Convert to fraction form
    1,373.05/1,894.62 = 775.45/x
  3. Step 3: Cross multiply
    1,373.05x = 1,894.62 × 775.45
  4. Step 4: Simplify right side
    1,373.05x = 1,469,177.70
  5. Step 5: Solve for x
    x = 1,469,177.70/1,373.05
  6. Step 6: Final answer
    x = 1,070.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.