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Finding the Fourth Proportional to 1,412.04, 2,115.74 and 487.10

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Solution

The fourth proportional to 1,412.04, 2,115.74 and 487.10 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.04 : 2,115.74 = 487.10 : x
  2. Step 2: Convert to fraction form
    1,412.04/2,115.74 = 487.10/x
  3. Step 3: Cross multiply
    1,412.04x = 2,115.74 × 487.10
  4. Step 4: Simplify right side
    1,412.04x = 1,030,563.94
  5. Step 5: Solve for x
    x = 1,030,563.94/1,412.04
  6. Step 6: Final answer
    x = 729.84

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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.