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Finding the Fourth Proportional to 776.46, 1,071.43 and 444.99

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Solution

The fourth proportional to 776.46, 1,071.43 and 444.99 is: 614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.46 : 1,071.43 = 444.99 : x
  2. Step 2: Convert to fraction form
    776.46/1,071.43 = 444.99/x
  3. Step 3: Cross multiply
    776.46x = 1,071.43 × 444.99
  4. Step 4: Simplify right side
    776.46x = 476,775.64
  5. Step 5: Solve for x
    x = 476,775.64/776.46
  6. Step 6: Final answer
    x = 614.04

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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.