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Finding the Fourth Proportional to 757.49, 1,045.51 and 458.82

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Solution

The fourth proportional to 757.49, 1,045.51 and 458.82 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.49 : 1,045.51 = 458.82 : x
  2. Step 2: Convert to fraction form
    757.49/1,045.51 = 458.82/x
  3. Step 3: Cross multiply
    757.49x = 1,045.51 × 458.82
  4. Step 4: Simplify right side
    757.49x = 479,699.75
  5. Step 5: Solve for x
    x = 479,699.75/757.49
  6. Step 6: Final answer
    x = 633.28

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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.