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Finding the Fourth Proportional to 708.96, 977.04 and 568.56

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Solution

The fourth proportional to 708.96, 977.04 and 568.56 is: 783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 977.04 = 568.56 : x
  2. Step 2: Convert to fraction form
    708.96/977.04 = 568.56/x
  3. Step 3: Cross multiply
    708.96x = 977.04 × 568.56
  4. Step 4: Simplify right side
    708.96x = 555,505.86
  5. Step 5: Solve for x
    x = 555,505.86/708.96
  6. Step 6: Final answer
    x = 783.55

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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.