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Finding the Fourth Proportional to 687.26, 1,029.05 and 412.06

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Solution

The fourth proportional to 687.26, 1,029.05 and 412.06 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.26 : 1,029.05 = 412.06 : x
  2. Step 2: Convert to fraction form
    687.26/1,029.05 = 412.06/x
  3. Step 3: Cross multiply
    687.26x = 1,029.05 × 412.06
  4. Step 4: Simplify right side
    687.26x = 424,030.34
  5. Step 5: Solve for x
    x = 424,030.34/687.26
  6. Step 6: Final answer
    x = 616.99

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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.