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Finding the Fourth Proportional to 757.77, 1,045.23 and 458.94

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Solution

The fourth proportional to 757.77, 1,045.23 and 458.94 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.77 : 1,045.23 = 458.94 : x
  2. Step 2: Convert to fraction form
    757.77/1,045.23 = 458.94/x
  3. Step 3: Cross multiply
    757.77x = 1,045.23 × 458.94
  4. Step 4: Simplify right side
    757.77x = 479,697.86
  5. Step 5: Solve for x
    x = 479,697.86/757.77
  6. Step 6: Final answer
    x = 633.04

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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.