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Finding the Fourth Proportional to 816.56, 1,225.68 and 406.00

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Solution

The fourth proportional to 816.56, 1,225.68 and 406.00 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.56 : 1,225.68 = 406.00 : x
  2. Step 2: Convert to fraction form
    816.56/1,225.68 = 406.00/x
  3. Step 3: Cross multiply
    816.56x = 1,225.68 × 406.00
  4. Step 4: Simplify right side
    816.56x = 497,621.48
  5. Step 5: Solve for x
    x = 497,621.48/816.56
  6. Step 6: Final answer
    x = 609.42

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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.