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Finding the Fourth Proportional to 763.51, 1,053.57 and 431.97

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Solution

The fourth proportional to 763.51, 1,053.57 and 431.97 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.51 : 1,053.57 = 431.97 : x
  2. Step 2: Convert to fraction form
    763.51/1,053.57 = 431.97/x
  3. Step 3: Cross multiply
    763.51x = 1,053.57 × 431.97
  4. Step 4: Simplify right side
    763.51x = 455,110.63
  5. Step 5: Solve for x
    x = 455,110.63/763.51
  6. Step 6: Final answer
    x = 596.08

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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.