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Finding the Fourth Proportional to 1,057.23, 1,584.52 and 536.45

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Solution

The fourth proportional to 1,057.23, 1,584.52 and 536.45 is: 803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.23 : 1,584.52 = 536.45 : x
  2. Step 2: Convert to fraction form
    1,057.23/1,584.52 = 536.45/x
  3. Step 3: Cross multiply
    1,057.23x = 1,584.52 × 536.45
  4. Step 4: Simplify right side
    1,057.23x = 850,006.49
  5. Step 5: Solve for x
    x = 850,006.49/1,057.23
  6. Step 6: Final answer
    x = 803.99

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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.