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Finding the Fourth Proportional to 746.44, 1,030.14 and 431.81

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Solution

The fourth proportional to 746.44, 1,030.14 and 431.81 is: 595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,030.14 = 431.81 : x
  2. Step 2: Convert to fraction form
    746.44/1,030.14 = 431.81/x
  3. Step 3: Cross multiply
    746.44x = 1,030.14 × 431.81
  4. Step 4: Simplify right side
    746.44x = 444,821.78
  5. Step 5: Solve for x
    x = 444,821.78/746.44
  6. Step 6: Final answer
    x = 595.92

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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.