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Finding the Fourth Proportional to 718.86, 1,078.65 and 285.96

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Solution

The fourth proportional to 718.86, 1,078.65 and 285.96 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.86 : 1,078.65 = 285.96 : x
  2. Step 2: Convert to fraction form
    718.86/1,078.65 = 285.96/x
  3. Step 3: Cross multiply
    718.86x = 1,078.65 × 285.96
  4. Step 4: Simplify right side
    718.86x = 308,450.75
  5. Step 5: Solve for x
    x = 308,450.75/718.86
  6. Step 6: Final answer
    x = 429.08

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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.