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Finding the Fourth Proportional to 816.48, 1,223.64 and 405.72

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Solution

The fourth proportional to 816.48, 1,223.64 and 405.72 is: 608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,223.64 = 405.72 : x
  2. Step 2: Convert to fraction form
    816.48/1,223.64 = 405.72/x
  3. Step 3: Cross multiply
    816.48x = 1,223.64 × 405.72
  4. Step 4: Simplify right side
    816.48x = 496,455.22
  5. Step 5: Solve for x
    x = 496,455.22/816.48
  6. Step 6: Final answer
    x = 608.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.