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Finding the Fourth Proportional to 1,166.33, 1,609.54 and 642.36

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Solution

The fourth proportional to 1,166.33, 1,609.54 and 642.36 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.33 : 1,609.54 = 642.36 : x
  2. Step 2: Convert to fraction form
    1,166.33/1,609.54 = 642.36/x
  3. Step 3: Cross multiply
    1,166.33x = 1,609.54 × 642.36
  4. Step 4: Simplify right side
    1,166.33x = 1,033,900.90
  5. Step 5: Solve for x
    x = 1,033,900.90/1,166.33
  6. Step 6: Final answer
    x = 886.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.