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Finding the Fourth Proportional to 763.44, 1,053.54 and 431.82

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Solution

The fourth proportional to 763.44, 1,053.54 and 431.82 is: 595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,053.54 = 431.82 : x
  2. Step 2: Convert to fraction form
    763.44/1,053.54 = 431.82/x
  3. Step 3: Cross multiply
    763.44x = 1,053.54 × 431.82
  4. Step 4: Simplify right side
    763.44x = 454,939.64
  5. Step 5: Solve for x
    x = 454,939.64/763.44
  6. Step 6: Final answer
    x = 595.91

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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.