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Finding the Fourth Proportional to 1,412.59, 2,115.47 and 999.79

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Solution

The fourth proportional to 1,412.59, 2,115.47 and 999.79 is: 1,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.59 : 2,115.47 = 999.79 : x
  2. Step 2: Convert to fraction form
    1,412.59/2,115.47 = 999.79/x
  3. Step 3: Cross multiply
    1,412.59x = 2,115.47 × 999.79
  4. Step 4: Simplify right side
    1,412.59x = 2,115,029.24
  5. Step 5: Solve for x
    x = 2,115,029.24/1,412.59
  6. Step 6: Final answer
    x = 1,497.27

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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.