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Finding the Fourth Proportional to 762.80, 1,049.90 and 664

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Solution

The fourth proportional to 762.80, 1,049.90 and 664 is: 913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.80 : 1,049.90 = 664 : x
  2. Step 2: Convert to fraction form
    762.80/1,049.90 = 664/x
  3. Step 3: Cross multiply
    762.80x = 1,049.90 × 664
  4. Step 4: Simplify right side
    762.80x = 697,133.60
  5. Step 5: Solve for x
    x = 697,133.60/762.80
  6. Step 6: Final answer
    x = 913.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.