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Finding the Fourth Proportional to 829.42, 1,144.86 and 568.19

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Solution

The fourth proportional to 829.42, 1,144.86 and 568.19 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,144.86 = 568.19 : x
  2. Step 2: Convert to fraction form
    829.42/1,144.86 = 568.19/x
  3. Step 3: Cross multiply
    829.42x = 1,144.86 × 568.19
  4. Step 4: Simplify right side
    829.42x = 650,498.00
  5. Step 5: Solve for x
    x = 650,498.00/829.42
  6. Step 6: Final answer
    x = 784.28

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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.