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Finding the Fourth Proportional to 688.80, 1,033.42 and 458.59

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Solution

The fourth proportional to 688.80, 1,033.42 and 458.59 is: 688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 1,033.42 = 458.59 : x
  2. Step 2: Convert to fraction form
    688.80/1,033.42 = 458.59/x
  3. Step 3: Cross multiply
    688.80x = 1,033.42 × 458.59
  4. Step 4: Simplify right side
    688.80x = 473,916.08
  5. Step 5: Solve for x
    x = 473,916.08/688.80
  6. Step 6: Final answer
    x = 688.03

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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.