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Finding the Fourth Proportional to 1,054.55, 1,581.82 and 405.43

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Solution

The fourth proportional to 1,054.55, 1,581.82 and 405.43 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.55 : 1,581.82 = 405.43 : x
  2. Step 2: Convert to fraction form
    1,054.55/1,581.82 = 405.43/x
  3. Step 3: Cross multiply
    1,054.55x = 1,581.82 × 405.43
  4. Step 4: Simplify right side
    1,054.55x = 641,312.31
  5. Step 5: Solve for x
    x = 641,312.31/1,054.55
  6. Step 6: Final answer
    x = 608.14

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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.