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Finding the Fourth Proportional to 1,022.80, 1,534.65 and 535.74

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Solution

The fourth proportional to 1,022.80, 1,534.65 and 535.74 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,534.65 = 535.74 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,534.65 = 535.74/x
  3. Step 3: Cross multiply
    1,022.80x = 1,534.65 × 535.74
  4. Step 4: Simplify right side
    1,022.80x = 822,169.65
  5. Step 5: Solve for x
    x = 822,169.65/1,022.80
  6. Step 6: Final answer
    x = 803.84

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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.