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Finding the Fourth Proportional to 1,054.53, 1,581.66 and 405.27

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Solution

The fourth proportional to 1,054.53, 1,581.66 and 405.27 is: 607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.53 : 1,581.66 = 405.27 : x
  2. Step 2: Convert to fraction form
    1,054.53/1,581.66 = 405.27/x
  3. Step 3: Cross multiply
    1,054.53x = 1,581.66 × 405.27
  4. Step 4: Simplify right side
    1,054.53x = 640,999.35
  5. Step 5: Solve for x
    x = 640,999.35/1,054.53
  6. Step 6: Final answer
    x = 607.85

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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.