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Finding the Fourth Proportional to 1,412.00, 2,118.58 and 631.80

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Solution

The fourth proportional to 1,412.00, 2,118.58 and 631.80 is: 947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.00 : 2,118.58 = 631.80 : x
  2. Step 2: Convert to fraction form
    1,412.00/2,118.58 = 631.80/x
  3. Step 3: Cross multiply
    1,412.00x = 2,118.58 × 631.80
  4. Step 4: Simplify right side
    1,412.00x = 1,338,519.04
  5. Step 5: Solve for x
    x = 1,338,519.04/1,412.00
  6. Step 6: Final answer
    x = 947.96

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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.