Home / 1,071.14-1,606.94-609.13

Finding the Fourth Proportional to 1,071.14, 1,606.94 and 609.13

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Solution

The fourth proportional to 1,071.14, 1,606.94 and 609.13 is: 913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,606.94 = 609.13 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,606.94 = 609.13/x
  3. Step 3: Cross multiply
    1,071.14x = 1,606.94 × 609.13
  4. Step 4: Simplify right side
    1,071.14x = 978,836.61
  5. Step 5: Solve for x
    x = 978,836.61/1,071.14
  6. Step 6: Final answer
    x = 913.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.