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Finding the Fourth Proportional to 829.65, 1,144.90 and 456.63

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Solution

The fourth proportional to 829.65, 1,144.90 and 456.63 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.65 : 1,144.90 = 456.63 : x
  2. Step 2: Convert to fraction form
    829.65/1,144.90 = 456.63/x
  3. Step 3: Cross multiply
    829.65x = 1,144.90 × 456.63
  4. Step 4: Simplify right side
    829.65x = 522,796.83
  5. Step 5: Solve for x
    x = 522,796.83/829.65
  6. Step 6: Final answer
    x = 630.14

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