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Finding the Fourth Proportional to 747.40, 1,030.45 and 481.37

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Solution

The fourth proportional to 747.40, 1,030.45 and 481.37 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.40 : 1,030.45 = 481.37 : x
  2. Step 2: Convert to fraction form
    747.40/1,030.45 = 481.37/x
  3. Step 3: Cross multiply
    747.40x = 1,030.45 × 481.37
  4. Step 4: Simplify right side
    747.40x = 496,023.81
  5. Step 5: Solve for x
    x = 496,023.81/747.40
  6. Step 6: Final answer
    x = 663.66

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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.