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Finding the Fourth Proportional to 1,208.00, 1,812.47 and 477.78

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Solution

The fourth proportional to 1,208.00, 1,812.47 and 477.78 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.00 : 1,812.47 = 477.78 : x
  2. Step 2: Convert to fraction form
    1,208.00/1,812.47 = 477.78/x
  3. Step 3: Cross multiply
    1,208.00x = 1,812.47 × 477.78
  4. Step 4: Simplify right side
    1,208.00x = 865,959.53
  5. Step 5: Solve for x
    x = 865,959.53/1,208.00
  6. Step 6: Final answer
    x = 716.86

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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.