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Finding the Fourth Proportional to 757.64, 1,045.74 and 447.14

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Solution

The fourth proportional to 757.64, 1,045.74 and 447.14 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,045.74 = 447.14 : x
  2. Step 2: Convert to fraction form
    757.64/1,045.74 = 447.14/x
  3. Step 3: Cross multiply
    757.64x = 1,045.74 × 447.14
  4. Step 4: Simplify right side
    757.64x = 467,592.18
  5. Step 5: Solve for x
    x = 467,592.18/757.64
  6. Step 6: Final answer
    x = 617.17

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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.