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Finding the Fourth Proportional to 1,412.63, 2,116.60 and 999.72

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Solution

The fourth proportional to 1,412.63, 2,116.60 and 999.72 is: 1,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.63 : 2,116.60 = 999.72 : x
  2. Step 2: Convert to fraction form
    1,412.63/2,116.60 = 999.72/x
  3. Step 3: Cross multiply
    1,412.63x = 2,116.60 × 999.72
  4. Step 4: Simplify right side
    1,412.63x = 2,116,007.35
  5. Step 5: Solve for x
    x = 2,116,007.35/1,412.63
  6. Step 6: Final answer
    x = 1,497.92

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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.