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Finding the Fourth Proportional to 763.91, 1,052.87 and 623.13

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Solution

The fourth proportional to 763.91, 1,052.87 and 623.13 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.91 : 1,052.87 = 623.13 : x
  2. Step 2: Convert to fraction form
    763.91/1,052.87 = 623.13/x
  3. Step 3: Cross multiply
    763.91x = 1,052.87 × 623.13
  4. Step 4: Simplify right side
    763.91x = 656,074.88
  5. Step 5: Solve for x
    x = 656,074.88/763.91
  6. Step 6: Final answer
    x = 858.84

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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.