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Finding the Fourth Proportional to 1,087.56, 1,500.83 and 590.21

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Solution

The fourth proportional to 1,087.56, 1,500.83 and 590.21 is: 814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.56 : 1,500.83 = 590.21 : x
  2. Step 2: Convert to fraction form
    1,087.56/1,500.83 = 590.21/x
  3. Step 3: Cross multiply
    1,087.56x = 1,500.83 × 590.21
  4. Step 4: Simplify right side
    1,087.56x = 885,804.87
  5. Step 5: Solve for x
    x = 885,804.87/1,087.56
  6. Step 6: Final answer
    x = 814.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.