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Finding the Fourth Proportional to 786.31, 1,180.14 and 543.00

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Solution

The fourth proportional to 786.31, 1,180.14 and 543.00 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.31 : 1,180.14 = 543.00 : x
  2. Step 2: Convert to fraction form
    786.31/1,180.14 = 543.00/x
  3. Step 3: Cross multiply
    786.31x = 1,180.14 × 543.00
  4. Step 4: Simplify right side
    786.31x = 640,822.99
  5. Step 5: Solve for x
    x = 640,822.99/786.31
  6. Step 6: Final answer
    x = 814.98

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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.