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Finding the Fourth Proportional to 1,029.53, 1,544.30 and 260.03

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Solution

The fourth proportional to 1,029.53, 1,544.30 and 260.03 is: 390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.53 : 1,544.30 = 260.03 : x
  2. Step 2: Convert to fraction form
    1,029.53/1,544.30 = 260.03/x
  3. Step 3: Cross multiply
    1,029.53x = 1,544.30 × 260.03
  4. Step 4: Simplify right side
    1,029.53x = 401,564.33
  5. Step 5: Solve for x
    x = 401,564.33/1,029.53
  6. Step 6: Final answer
    x = 390.05

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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.