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Finding the Fourth Proportional to 710.43, 977.67 and 543.99

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Solution

The fourth proportional to 710.43, 977.67 and 543.99 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.43 : 977.67 = 543.99 : x
  2. Step 2: Convert to fraction form
    710.43/977.67 = 543.99/x
  3. Step 3: Cross multiply
    710.43x = 977.67 × 543.99
  4. Step 4: Simplify right side
    710.43x = 531,842.70
  5. Step 5: Solve for x
    x = 531,842.70/710.43
  6. Step 6: Final answer
    x = 748.62

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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.