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Finding the Fourth Proportional to 763.37, 1,051.96 and 623.85

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Solution

The fourth proportional to 763.37, 1,051.96 and 623.85 is: 859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.37 : 1,051.96 = 623.85 : x
  2. Step 2: Convert to fraction form
    763.37/1,051.96 = 623.85/x
  3. Step 3: Cross multiply
    763.37x = 1,051.96 × 623.85
  4. Step 4: Simplify right side
    763.37x = 656,262.13
  5. Step 5: Solve for x
    x = 656,262.13/763.37
  6. Step 6: Final answer
    x = 859.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.