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Finding the Fourth Proportional to 829.17, 1,144.23 and 456.16

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Solution

The fourth proportional to 829.17, 1,144.23 and 456.16 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.17 : 1,144.23 = 456.16 : x
  2. Step 2: Convert to fraction form
    829.17/1,144.23 = 456.16/x
  3. Step 3: Cross multiply
    829.17x = 1,144.23 × 456.16
  4. Step 4: Simplify right side
    829.17x = 521,951.96
  5. Step 5: Solve for x
    x = 521,951.96/829.17
  6. Step 6: Final answer
    x = 629.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.