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Finding the Fourth Proportional to 822.64, 1,232.04 and 437.68

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Solution

The fourth proportional to 822.64, 1,232.04 and 437.68 is: 655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,232.04 = 437.68 : x
  2. Step 2: Convert to fraction form
    822.64/1,232.04 = 437.68/x
  3. Step 3: Cross multiply
    822.64x = 1,232.04 × 437.68
  4. Step 4: Simplify right side
    822.64x = 539,239.27
  5. Step 5: Solve for x
    x = 539,239.27/822.64
  6. Step 6: Final answer
    x = 655.50

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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.