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Finding the Fourth Proportional to 1,435.73, 2,154.41 and 777.60

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Solution

The fourth proportional to 1,435.73, 2,154.41 and 777.60 is: 1,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.73 : 2,154.41 = 777.60 : x
  2. Step 2: Convert to fraction form
    1,435.73/2,154.41 = 777.60/x
  3. Step 3: Cross multiply
    1,435.73x = 2,154.41 × 777.60
  4. Step 4: Simplify right side
    1,435.73x = 1,675,265.33
  5. Step 5: Solve for x
    x = 1,675,265.33/1,435.73
  6. Step 6: Final answer
    x = 1,166.84

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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.