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Finding the Fourth Proportional to 763.89, 1,054.25 and 432.41

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Solution

The fourth proportional to 763.89, 1,054.25 and 432.41 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.89 : 1,054.25 = 432.41 : x
  2. Step 2: Convert to fraction form
    763.89/1,054.25 = 432.41/x
  3. Step 3: Cross multiply
    763.89x = 1,054.25 × 432.41
  4. Step 4: Simplify right side
    763.89x = 455,860.81
  5. Step 5: Solve for x
    x = 455,860.81/763.89
  6. Step 6: Final answer
    x = 596.76

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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.