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Finding the Fourth Proportional to 1,591.25, 2,387.54 and 770.21

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Solution

The fourth proportional to 1,591.25, 2,387.54 and 770.21 is: 1,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.25 : 2,387.54 = 770.21 : x
  2. Step 2: Convert to fraction form
    1,591.25/2,387.54 = 770.21/x
  3. Step 3: Cross multiply
    1,591.25x = 2,387.54 × 770.21
  4. Step 4: Simplify right side
    1,591.25x = 1,838,906.12
  5. Step 5: Solve for x
    x = 1,838,906.12/1,591.25
  6. Step 6: Final answer
    x = 1,155.64

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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.