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Finding the Fourth Proportional to 1,203.07, 1,659.75 and 783.78

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Solution

The fourth proportional to 1,203.07, 1,659.75 and 783.78 is: 1,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.07 : 1,659.75 = 783.78 : x
  2. Step 2: Convert to fraction form
    1,203.07/1,659.75 = 783.78/x
  3. Step 3: Cross multiply
    1,203.07x = 1,659.75 × 783.78
  4. Step 4: Simplify right side
    1,203.07x = 1,300,871.90
  5. Step 5: Solve for x
    x = 1,300,871.90/1,203.07
  6. Step 6: Final answer
    x = 1,081.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.