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Finding the Fourth Proportional to 1,246.62, 1,868.81 and 783

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Solution

The fourth proportional to 1,246.62, 1,868.81 and 783 is: 1,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.62 : 1,868.81 = 783 : x
  2. Step 2: Convert to fraction form
    1,246.62/1,868.81 = 783/x
  3. Step 3: Cross multiply
    1,246.62x = 1,868.81 × 783
  4. Step 4: Simplify right side
    1,246.62x = 1,463,274.32
  5. Step 5: Solve for x
    x = 1,463,274.32/1,246.62
  6. Step 6: Final answer
    x = 1,173.79

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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.