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Finding the Fourth Proportional to 1,208.70, 1,812.54 and 428.47

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Solution

The fourth proportional to 1,208.70, 1,812.54 and 428.47 is: 642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.70 : 1,812.54 = 428.47 : x
  2. Step 2: Convert to fraction form
    1,208.70/1,812.54 = 428.47/x
  3. Step 3: Cross multiply
    1,208.70x = 1,812.54 × 428.47
  4. Step 4: Simplify right side
    1,208.70x = 776,619.01
  5. Step 5: Solve for x
    x = 776,619.01/1,208.70
  6. Step 6: Final answer
    x = 642.52

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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.