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Finding the Fourth Proportional to 689.69, 1,033.46 and 586.55

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Solution

The fourth proportional to 689.69, 1,033.46 and 586.55 is: 878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.69 : 1,033.46 = 586.55 : x
  2. Step 2: Convert to fraction form
    689.69/1,033.46 = 586.55/x
  3. Step 3: Cross multiply
    689.69x = 1,033.46 × 586.55
  4. Step 4: Simplify right side
    689.69x = 606,177.81
  5. Step 5: Solve for x
    x = 606,177.81/689.69
  6. Step 6: Final answer
    x = 878.91

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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.