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Finding the Fourth Proportional to 1,072.50, 1,608.50 and 414.17

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Solution

The fourth proportional to 1,072.50, 1,608.50 and 414.17 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.50 : 1,608.50 = 414.17 : x
  2. Step 2: Convert to fraction form
    1,072.50/1,608.50 = 414.17/x
  3. Step 3: Cross multiply
    1,072.50x = 1,608.50 × 414.17
  4. Step 4: Simplify right side
    1,072.50x = 666,192.45
  5. Step 5: Solve for x
    x = 666,192.45/1,072.50
  6. Step 6: Final answer
    x = 621.16

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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.