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Finding the Fourth Proportional to 763.01, 1,051.53 and 596.96

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Solution

The fourth proportional to 763.01, 1,051.53 and 596.96 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.01 : 1,051.53 = 596.96 : x
  2. Step 2: Convert to fraction form
    763.01/1,051.53 = 596.96/x
  3. Step 3: Cross multiply
    763.01x = 1,051.53 × 596.96
  4. Step 4: Simplify right side
    763.01x = 627,716.09
  5. Step 5: Solve for x
    x = 627,716.09/763.01
  6. Step 6: Final answer
    x = 822.69

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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.