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Finding the Fourth Proportional to 1,071.13, 1,606.69 and 387.13

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Solution

The fourth proportional to 1,071.13, 1,606.69 and 387.13 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.13 : 1,606.69 = 387.13 : x
  2. Step 2: Convert to fraction form
    1,071.13/1,606.69 = 387.13/x
  3. Step 3: Cross multiply
    1,071.13x = 1,606.69 × 387.13
  4. Step 4: Simplify right side
    1,071.13x = 621,997.90
  5. Step 5: Solve for x
    x = 621,997.90/1,071.13
  6. Step 6: Final answer
    x = 580.69

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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.