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Finding the Fourth Proportional to 1,202.99, 1,661.12 and 783.69

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Solution

The fourth proportional to 1,202.99, 1,661.12 and 783.69 is: 1,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.99 : 1,661.12 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,202.99/1,661.12 = 783.69/x
  3. Step 3: Cross multiply
    1,202.99x = 1,661.12 × 783.69
  4. Step 4: Simplify right side
    1,202.99x = 1,301,799.21
  5. Step 5: Solve for x
    x = 1,301,799.21/1,202.99
  6. Step 6: Final answer
    x = 1,082.14

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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.