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Finding the Fourth Proportional to 826.99, 1,240.18 and 595.18

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Solution

The fourth proportional to 826.99, 1,240.18 and 595.18 is: 892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.99 : 1,240.18 = 595.18 : x
  2. Step 2: Convert to fraction form
    826.99/1,240.18 = 595.18/x
  3. Step 3: Cross multiply
    826.99x = 1,240.18 × 595.18
  4. Step 4: Simplify right side
    826.99x = 738,130.33
  5. Step 5: Solve for x
    x = 738,130.33/826.99
  6. Step 6: Final answer
    x = 892.55

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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.