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Finding the Fourth Proportional to 1,137.05, 1,567.94 and 900.62

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Solution

The fourth proportional to 1,137.05, 1,567.94 and 900.62 is: 1,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.05 : 1,567.94 = 900.62 : x
  2. Step 2: Convert to fraction form
    1,137.05/1,567.94 = 900.62/x
  3. Step 3: Cross multiply
    1,137.05x = 1,567.94 × 900.62
  4. Step 4: Simplify right side
    1,137.05x = 1,412,118.12
  5. Step 5: Solve for x
    x = 1,412,118.12/1,137.05
  6. Step 6: Final answer
    x = 1,241.91

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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.