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Finding the Fourth Proportional to 1,208.64, 1,813.88 and 477.80

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Solution

The fourth proportional to 1,208.64, 1,813.88 and 477.80 is: 717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.64 : 1,813.88 = 477.80 : x
  2. Step 2: Convert to fraction form
    1,208.64/1,813.88 = 477.80/x
  3. Step 3: Cross multiply
    1,208.64x = 1,813.88 × 477.80
  4. Step 4: Simplify right side
    1,208.64x = 866,671.86
  5. Step 5: Solve for x
    x = 866,671.86/1,208.64
  6. Step 6: Final answer
    x = 717.06

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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.