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Finding the Fourth Proportional to 687.41, 1,030.99 and 439.89

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Solution

The fourth proportional to 687.41, 1,030.99 and 439.89 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.41 : 1,030.99 = 439.89 : x
  2. Step 2: Convert to fraction form
    687.41/1,030.99 = 439.89/x
  3. Step 3: Cross multiply
    687.41x = 1,030.99 × 439.89
  4. Step 4: Simplify right side
    687.41x = 453,522.19
  5. Step 5: Solve for x
    x = 453,522.19/687.41
  6. Step 6: Final answer
    x = 659.76

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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.