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Finding the Fourth Proportional to 757.49, 1,045.10 and 462.44

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Solution

The fourth proportional to 757.49, 1,045.10 and 462.44 is: 638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.49 : 1,045.10 = 462.44 : x
  2. Step 2: Convert to fraction form
    757.49/1,045.10 = 462.44/x
  3. Step 3: Cross multiply
    757.49x = 1,045.10 × 462.44
  4. Step 4: Simplify right side
    757.49x = 483,299.81
  5. Step 5: Solve for x
    x = 483,299.81/757.49
  6. Step 6: Final answer
    x = 638.03

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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.