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Finding the Fourth Proportional to 1,318.04, 1,976.38 and 770.38

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Solution

The fourth proportional to 1,318.04, 1,976.38 and 770.38 is: 1,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.04 : 1,976.38 = 770.38 : x
  2. Step 2: Convert to fraction form
    1,318.04/1,976.38 = 770.38/x
  3. Step 3: Cross multiply
    1,318.04x = 1,976.38 × 770.38
  4. Step 4: Simplify right side
    1,318.04x = 1,522,563.62
  5. Step 5: Solve for x
    x = 1,522,563.62/1,318.04
  6. Step 6: Final answer
    x = 1,155.17

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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.