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Finding the Fourth Proportional to 757.34, 1,045.01 and 442.63

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Solution

The fourth proportional to 757.34, 1,045.01 and 442.63 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.34 : 1,045.01 = 442.63 : x
  2. Step 2: Convert to fraction form
    757.34/1,045.01 = 442.63/x
  3. Step 3: Cross multiply
    757.34x = 1,045.01 × 442.63
  4. Step 4: Simplify right side
    757.34x = 462,551.27
  5. Step 5: Solve for x
    x = 462,551.27/757.34
  6. Step 6: Final answer
    x = 610.76

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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.