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Finding the Fourth Proportional to 1,054.75, 1,582.32 and 405.43

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Solution

The fourth proportional to 1,054.75, 1,582.32 and 405.43 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.75 : 1,582.32 = 405.43 : x
  2. Step 2: Convert to fraction form
    1,054.75/1,582.32 = 405.43/x
  3. Step 3: Cross multiply
    1,054.75x = 1,582.32 × 405.43
  4. Step 4: Simplify right side
    1,054.75x = 641,512.09
  5. Step 5: Solve for x
    x = 641,512.09/1,054.75
  6. Step 6: Final answer
    x = 608.22

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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.