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Finding the Fourth Proportional to 810.22, 1,216.26 and 592.21

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Solution

The fourth proportional to 810.22, 1,216.26 and 592.21 is: 888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,216.26 = 592.21 : x
  2. Step 2: Convert to fraction form
    810.22/1,216.26 = 592.21/x
  3. Step 3: Cross multiply
    810.22x = 1,216.26 × 592.21
  4. Step 4: Simplify right side
    810.22x = 720,281.33
  5. Step 5: Solve for x
    x = 720,281.33/810.22
  6. Step 6: Final answer
    x = 888.99

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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.