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Finding the Fourth Proportional to 747.05, 1,030.91 and 415.49

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Solution

The fourth proportional to 747.05, 1,030.91 and 415.49 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.05 : 1,030.91 = 415.49 : x
  2. Step 2: Convert to fraction form
    747.05/1,030.91 = 415.49/x
  3. Step 3: Cross multiply
    747.05x = 1,030.91 × 415.49
  4. Step 4: Simplify right side
    747.05x = 428,325.56
  5. Step 5: Solve for x
    x = 428,325.56/747.05
  6. Step 6: Final answer
    x = 573.36

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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.