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Finding the Fourth Proportional to 1,054.62, 1,582.09 and 469.82

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Solution

The fourth proportional to 1,054.62, 1,582.09 and 469.82 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.62 : 1,582.09 = 469.82 : x
  2. Step 2: Convert to fraction form
    1,054.62/1,582.09 = 469.82/x
  3. Step 3: Cross multiply
    1,054.62x = 1,582.09 × 469.82
  4. Step 4: Simplify right side
    1,054.62x = 743,297.52
  5. Step 5: Solve for x
    x = 743,297.52/1,054.62
  6. Step 6: Final answer
    x = 704.80

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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.