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Finding the Fourth Proportional to 1,020.45, 1,528.56 and 532.02

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Solution

The fourth proportional to 1,020.45, 1,528.56 and 532.02 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.45 : 1,528.56 = 532.02 : x
  2. Step 2: Convert to fraction form
    1,020.45/1,528.56 = 532.02/x
  3. Step 3: Cross multiply
    1,020.45x = 1,528.56 × 532.02
  4. Step 4: Simplify right side
    1,020.45x = 813,224.49
  5. Step 5: Solve for x
    x = 813,224.49/1,020.45
  6. Step 6: Final answer
    x = 796.93

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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.