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Finding the Fourth Proportional to 1,022.93, 1,534.84 and 535.86

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Solution

The fourth proportional to 1,022.93, 1,534.84 and 535.86 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.93 : 1,534.84 = 535.86 : x
  2. Step 2: Convert to fraction form
    1,022.93/1,534.84 = 535.86/x
  3. Step 3: Cross multiply
    1,022.93x = 1,534.84 × 535.86
  4. Step 4: Simplify right side
    1,022.93x = 822,459.36
  5. Step 5: Solve for x
    x = 822,459.36/1,022.93
  6. Step 6: Final answer
    x = 804.03

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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.