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Finding the Fourth Proportional to 1,391.69, 2,087.77 and 467.33

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Solution

The fourth proportional to 1,391.69, 2,087.77 and 467.33 is: 701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.69 : 2,087.77 = 467.33 : x
  2. Step 2: Convert to fraction form
    1,391.69/2,087.77 = 467.33/x
  3. Step 3: Cross multiply
    1,391.69x = 2,087.77 × 467.33
  4. Step 4: Simplify right side
    1,391.69x = 975,679.00
  5. Step 5: Solve for x
    x = 975,679.00/1,391.69
  6. Step 6: Final answer
    x = 701.08

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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.