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Finding the Fourth Proportional to 756.69, 1,137.08 and 410.28

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Solution

The fourth proportional to 756.69, 1,137.08 and 410.28 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.69 : 1,137.08 = 410.28 : x
  2. Step 2: Convert to fraction form
    756.69/1,137.08 = 410.28/x
  3. Step 3: Cross multiply
    756.69x = 1,137.08 × 410.28
  4. Step 4: Simplify right side
    756.69x = 466,521.18
  5. Step 5: Solve for x
    x = 466,521.18/756.69
  6. Step 6: Final answer
    x = 616.53

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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.