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Finding the Fourth Proportional to 664.49, 917.25 and 570.86

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Solution

The fourth proportional to 664.49, 917.25 and 570.86 is: 788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 917.25 = 570.86 : x
  2. Step 2: Convert to fraction form
    664.49/917.25 = 570.86/x
  3. Step 3: Cross multiply
    664.49x = 917.25 × 570.86
  4. Step 4: Simplify right side
    664.49x = 523,621.49
  5. Step 5: Solve for x
    x = 523,621.49/664.49
  6. Step 6: Final answer
    x = 788.00

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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.