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Finding the Fourth Proportional to 1,203.36, 1,796.58 and 1,030.08

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Solution

The fourth proportional to 1,203.36, 1,796.58 and 1,030.08 is: 1,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.36 : 1,796.58 = 1,030.08 : x
  2. Step 2: Convert to fraction form
    1,203.36/1,796.58 = 1,030.08/x
  3. Step 3: Cross multiply
    1,203.36x = 1,796.58 × 1,030.08
  4. Step 4: Simplify right side
    1,203.36x = 1,850,621.13
  5. Step 5: Solve for x
    x = 1,850,621.13/1,203.36
  6. Step 6: Final answer
    x = 1,537.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.