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Finding the Fourth Proportional to 823.42, 1,232.56 and 457.30

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Solution

The fourth proportional to 823.42, 1,232.56 and 457.30 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.42 : 1,232.56 = 457.30 : x
  2. Step 2: Convert to fraction form
    823.42/1,232.56 = 457.30/x
  3. Step 3: Cross multiply
    823.42x = 1,232.56 × 457.30
  4. Step 4: Simplify right side
    823.42x = 563,649.69
  5. Step 5: Solve for x
    x = 563,649.69/823.42
  6. Step 6: Final answer
    x = 684.52

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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.