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Finding the Fourth Proportional to 718.69, 1,078.23 and 285.97

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Solution

The fourth proportional to 718.69, 1,078.23 and 285.97 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.69 : 1,078.23 = 285.97 : x
  2. Step 2: Convert to fraction form
    718.69/1,078.23 = 285.97/x
  3. Step 3: Cross multiply
    718.69x = 1,078.23 × 285.97
  4. Step 4: Simplify right side
    718.69x = 308,341.43
  5. Step 5: Solve for x
    x = 308,341.43/718.69
  6. Step 6: Final answer
    x = 429.03

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Why These Related Problems?

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