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Finding the Fourth Proportional to 1,202.70, 1,659.45 and 783.03

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Solution

The fourth proportional to 1,202.70, 1,659.45 and 783.03 is: 1,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.70 : 1,659.45 = 783.03 : x
  2. Step 2: Convert to fraction form
    1,202.70/1,659.45 = 783.03/x
  3. Step 3: Cross multiply
    1,202.70x = 1,659.45 × 783.03
  4. Step 4: Simplify right side
    1,202.70x = 1,299,399.13
  5. Step 5: Solve for x
    x = 1,299,399.13/1,202.70
  6. Step 6: Final answer
    x = 1,080.40

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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.