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Finding the Fourth Proportional to 1,202.56, 1,803.36 and 654.19

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Solution

The fourth proportional to 1,202.56, 1,803.36 and 654.19 is: 981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.56 : 1,803.36 = 654.19 : x
  2. Step 2: Convert to fraction form
    1,202.56/1,803.36 = 654.19/x
  3. Step 3: Cross multiply
    1,202.56x = 1,803.36 × 654.19
  4. Step 4: Simplify right side
    1,202.56x = 1,179,740.08
  5. Step 5: Solve for x
    x = 1,179,740.08/1,202.56
  6. Step 6: Final answer
    x = 981.02

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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.