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Finding the Fourth Proportional to 1,054.54, 1,581.12 and 405.34

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Solution

The fourth proportional to 1,054.54, 1,581.12 and 405.34 is: 607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.54 : 1,581.12 = 405.34 : x
  2. Step 2: Convert to fraction form
    1,054.54/1,581.12 = 405.34/x
  3. Step 3: Cross multiply
    1,054.54x = 1,581.12 × 405.34
  4. Step 4: Simplify right side
    1,054.54x = 640,891.18
  5. Step 5: Solve for x
    x = 640,891.18/1,054.54
  6. Step 6: Final answer
    x = 607.74

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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.