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Finding the Fourth Proportional to 1,095.89, 1,642.42 and 445.87

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Solution

The fourth proportional to 1,095.89, 1,642.42 and 445.87 is: 668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.89 : 1,642.42 = 445.87 : x
  2. Step 2: Convert to fraction form
    1,095.89/1,642.42 = 445.87/x
  3. Step 3: Cross multiply
    1,095.89x = 1,642.42 × 445.87
  4. Step 4: Simplify right side
    1,095.89x = 732,305.81
  5. Step 5: Solve for x
    x = 732,305.81/1,095.89
  6. Step 6: Final answer
    x = 668.23

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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.