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Finding the Fourth Proportional to 718.76, 1,078.56 and 285.86

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Solution

The fourth proportional to 718.76, 1,078.56 and 285.86 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.76 : 1,078.56 = 285.86 : x
  2. Step 2: Convert to fraction form
    718.76/1,078.56 = 285.86/x
  3. Step 3: Cross multiply
    718.76x = 1,078.56 × 285.86
  4. Step 4: Simplify right side
    718.76x = 308,317.16
  5. Step 5: Solve for x
    x = 308,317.16/718.76
  6. Step 6: Final answer
    x = 428.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.