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Finding the Fourth Proportional to 715.33, 1,064.61 and 689

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Solution

The fourth proportional to 715.33, 1,064.61 and 689 is: 1,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.33 : 1,064.61 = 689 : x
  2. Step 2: Convert to fraction form
    715.33/1,064.61 = 689/x
  3. Step 3: Cross multiply
    715.33x = 1,064.61 × 689
  4. Step 4: Simplify right side
    715.33x = 733,516.29
  5. Step 5: Solve for x
    x = 733,516.29/715.33
  6. Step 6: Final answer
    x = 1,025.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.