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Finding the Fourth Proportional to 730.51, 1,008.14 and 431.77

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Solution

The fourth proportional to 730.51, 1,008.14 and 431.77 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.51 : 1,008.14 = 431.77 : x
  2. Step 2: Convert to fraction form
    730.51/1,008.14 = 431.77/x
  3. Step 3: Cross multiply
    730.51x = 1,008.14 × 431.77
  4. Step 4: Simplify right side
    730.51x = 435,284.61
  5. Step 5: Solve for x
    x = 435,284.61/730.51
  6. Step 6: Final answer
    x = 595.86

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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.