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Finding the Fourth Proportional to 719.79, 991.08 and 543

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Solution

The fourth proportional to 719.79, 991.08 and 543 is: 747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.79 : 991.08 = 543 : x
  2. Step 2: Convert to fraction form
    719.79/991.08 = 543/x
  3. Step 3: Cross multiply
    719.79x = 991.08 × 543
  4. Step 4: Simplify right side
    719.79x = 538,156.44
  5. Step 5: Solve for x
    x = 538,156.44/719.79
  6. Step 6: Final answer
    x = 747.66

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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.