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Finding the Fourth Proportional to 1,204.74, 1,661.88 and 784.56

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Solution

The fourth proportional to 1,204.74, 1,661.88 and 784.56 is: 1,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.74 : 1,661.88 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,204.74/1,661.88 = 784.56/x
  3. Step 3: Cross multiply
    1,204.74x = 1,661.88 × 784.56
  4. Step 4: Simplify right side
    1,204.74x = 1,303,844.57
  5. Step 5: Solve for x
    x = 1,303,844.57/1,204.74
  6. Step 6: Final answer
    x = 1,082.26

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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.