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Finding the Fourth Proportional to 1,021.97, 1,532.66 and 559.95

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Solution

The fourth proportional to 1,021.97, 1,532.66 and 559.95 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.97 : 1,532.66 = 559.95 : x
  2. Step 2: Convert to fraction form
    1,021.97/1,532.66 = 559.95/x
  3. Step 3: Cross multiply
    1,021.97x = 1,532.66 × 559.95
  4. Step 4: Simplify right side
    1,021.97x = 858,210.17
  5. Step 5: Solve for x
    x = 858,210.17/1,021.97
  6. Step 6: Final answer
    x = 839.76

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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.