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Finding the Fourth Proportional to 1,019.00, 1,528.56 and 288.51

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Solution

The fourth proportional to 1,019.00, 1,528.56 and 288.51 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.00 : 1,528.56 = 288.51 : x
  2. Step 2: Convert to fraction form
    1,019.00/1,528.56 = 288.51/x
  3. Step 3: Cross multiply
    1,019.00x = 1,528.56 × 288.51
  4. Step 4: Simplify right side
    1,019.00x = 441,004.85
  5. Step 5: Solve for x
    x = 441,004.85/1,019.00
  6. Step 6: Final answer
    x = 432.78

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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.