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Finding the Fourth Proportional to 1,193.49, 1,786.93 and 900.10

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Solution

The fourth proportional to 1,193.49, 1,786.93 and 900.10 is: 1,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.49 : 1,786.93 = 900.10 : x
  2. Step 2: Convert to fraction form
    1,193.49/1,786.93 = 900.10/x
  3. Step 3: Cross multiply
    1,193.49x = 1,786.93 × 900.10
  4. Step 4: Simplify right side
    1,193.49x = 1,608,415.69
  5. Step 5: Solve for x
    x = 1,608,415.69/1,193.49
  6. Step 6: Final answer
    x = 1,347.66

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