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Finding the Fourth Proportional to 825.04, 1,237.71 and 414.46

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Solution

The fourth proportional to 825.04, 1,237.71 and 414.46 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.04 : 1,237.71 = 414.46 : x
  2. Step 2: Convert to fraction form
    825.04/1,237.71 = 414.46/x
  3. Step 3: Cross multiply
    825.04x = 1,237.71 × 414.46
  4. Step 4: Simplify right side
    825.04x = 512,981.29
  5. Step 5: Solve for x
    x = 512,981.29/825.04
  6. Step 6: Final answer
    x = 621.77

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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.