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Finding the Fourth Proportional to 1,412.02, 2,118.98 and 535.33

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Solution

The fourth proportional to 1,412.02, 2,118.98 and 535.33 is: 803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.02 : 2,118.98 = 535.33 : x
  2. Step 2: Convert to fraction form
    1,412.02/2,118.98 = 535.33/x
  3. Step 3: Cross multiply
    1,412.02x = 2,118.98 × 535.33
  4. Step 4: Simplify right side
    1,412.02x = 1,134,353.56
  5. Step 5: Solve for x
    x = 1,134,353.56/1,412.02
  6. Step 6: Final answer
    x = 803.36

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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.