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Finding the Fourth Proportional to 822.16, 1,232.84 and 457.20

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Solution

The fourth proportional to 822.16, 1,232.84 and 457.20 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.16 : 1,232.84 = 457.20 : x
  2. Step 2: Convert to fraction form
    822.16/1,232.84 = 457.20/x
  3. Step 3: Cross multiply
    822.16x = 1,232.84 × 457.20
  4. Step 4: Simplify right side
    822.16x = 563,654.45
  5. Step 5: Solve for x
    x = 563,654.45/822.16
  6. Step 6: Final answer
    x = 685.58

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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.