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Finding the Fourth Proportional to 1,073.65, 1,609.77 and 553.23

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Solution

The fourth proportional to 1,073.65, 1,609.77 and 553.23 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.65 : 1,609.77 = 553.23 : x
  2. Step 2: Convert to fraction form
    1,073.65/1,609.77 = 553.23/x
  3. Step 3: Cross multiply
    1,073.65x = 1,609.77 × 553.23
  4. Step 4: Simplify right side
    1,073.65x = 890,573.06
  5. Step 5: Solve for x
    x = 890,573.06/1,073.65
  6. Step 6: Final answer
    x = 829.48

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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.