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Finding the Fourth Proportional to 1,149.93, 1,723.68 and 564.62

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Solution

The fourth proportional to 1,149.93, 1,723.68 and 564.62 is: 846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.93 : 1,723.68 = 564.62 : x
  2. Step 2: Convert to fraction form
    1,149.93/1,723.68 = 564.62/x
  3. Step 3: Cross multiply
    1,149.93x = 1,723.68 × 564.62
  4. Step 4: Simplify right side
    1,149.93x = 973,215.58
  5. Step 5: Solve for x
    x = 973,215.58/1,149.93
  6. Step 6: Final answer
    x = 846.33

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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.