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Finding the Fourth Proportional to 1,287.60, 1,773 and 1,099.68

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Solution

The fourth proportional to 1,287.60, 1,773 and 1,099.68 is: 1,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.60 : 1,773 = 1,099.68 : x
  2. Step 2: Convert to fraction form
    1,287.60/1,773 = 1,099.68/x
  3. Step 3: Cross multiply
    1,287.60x = 1,773 × 1,099.68
  4. Step 4: Simplify right side
    1,287.60x = 1,949,732.64
  5. Step 5: Solve for x
    x = 1,949,732.64/1,287.60
  6. Step 6: Final answer
    x = 1,514.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.