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Finding the Fourth Proportional to 1,203.56, 1,804.08 and 509.64

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Solution

The fourth proportional to 1,203.56, 1,804.08 and 509.64 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.56 : 1,804.08 = 509.64 : x
  2. Step 2: Convert to fraction form
    1,203.56/1,804.08 = 509.64/x
  3. Step 3: Cross multiply
    1,203.56x = 1,804.08 × 509.64
  4. Step 4: Simplify right side
    1,203.56x = 919,431.33
  5. Step 5: Solve for x
    x = 919,431.33/1,203.56
  6. Step 6: Final answer
    x = 763.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.