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Finding the Fourth Proportional to 777.91, 1,074.50 and 546.07

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Solution

The fourth proportional to 777.91, 1,074.50 and 546.07 is: 754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.91 : 1,074.50 = 546.07 : x
  2. Step 2: Convert to fraction form
    777.91/1,074.50 = 546.07/x
  3. Step 3: Cross multiply
    777.91x = 1,074.50 × 546.07
  4. Step 4: Simplify right side
    777.91x = 586,752.22
  5. Step 5: Solve for x
    x = 586,752.22/777.91
  6. Step 6: Final answer
    x = 754.27

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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.