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Finding the Fourth Proportional to 1,209.53, 1,815.28 and 479.59

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Solution

The fourth proportional to 1,209.53, 1,815.28 and 479.59 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.53 : 1,815.28 = 479.59 : x
  2. Step 2: Convert to fraction form
    1,209.53/1,815.28 = 479.59/x
  3. Step 3: Cross multiply
    1,209.53x = 1,815.28 × 479.59
  4. Step 4: Simplify right side
    1,209.53x = 870,584.40
  5. Step 5: Solve for x
    x = 870,584.40/1,209.53
  6. Step 6: Final answer
    x = 719.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.