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Finding the Fourth Proportional to 746.51, 1,029.93 and 431.69

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Solution

The fourth proportional to 746.51, 1,029.93 and 431.69 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,029.93 = 431.69 : x
  2. Step 2: Convert to fraction form
    746.51/1,029.93 = 431.69/x
  3. Step 3: Cross multiply
    746.51x = 1,029.93 × 431.69
  4. Step 4: Simplify right side
    746.51x = 444,610.48
  5. Step 5: Solve for x
    x = 444,610.48/746.51
  6. Step 6: Final answer
    x = 595.59

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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.