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Finding the Fourth Proportional to 1,435.14, 2,153.66 and 786.33

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Solution

The fourth proportional to 1,435.14, 2,153.66 and 786.33 is: 1,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.14 : 2,153.66 = 786.33 : x
  2. Step 2: Convert to fraction form
    1,435.14/2,153.66 = 786.33/x
  3. Step 3: Cross multiply
    1,435.14x = 2,153.66 × 786.33
  4. Step 4: Simplify right side
    1,435.14x = 1,693,483.54
  5. Step 5: Solve for x
    x = 1,693,483.54/1,435.14
  6. Step 6: Final answer
    x = 1,180.01

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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.