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Finding the Fourth Proportional to 1,326.93, 1,991.07 and 547.50

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Solution

The fourth proportional to 1,326.93, 1,991.07 and 547.50 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.93 : 1,991.07 = 547.50 : x
  2. Step 2: Convert to fraction form
    1,326.93/1,991.07 = 547.50/x
  3. Step 3: Cross multiply
    1,326.93x = 1,991.07 × 547.50
  4. Step 4: Simplify right side
    1,326.93x = 1,090,110.83
  5. Step 5: Solve for x
    x = 1,090,110.83/1,326.93
  6. Step 6: Final answer
    x = 821.53

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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.