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Finding the Fourth Proportional to 1,205.13, 1,814.65 and 899.13

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Solution

The fourth proportional to 1,205.13, 1,814.65 and 899.13 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.13 : 1,814.65 = 899.13 : x
  2. Step 2: Convert to fraction form
    1,205.13/1,814.65 = 899.13/x
  3. Step 3: Cross multiply
    1,205.13x = 1,814.65 × 899.13
  4. Step 4: Simplify right side
    1,205.13x = 1,631,606.25
  5. Step 5: Solve for x
    x = 1,631,606.25/1,205.13
  6. Step 6: Final answer
    x = 1,353.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.