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Finding the Fourth Proportional to 763.23, 1,051.89 and 513.86

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Solution

The fourth proportional to 763.23, 1,051.89 and 513.86 is: 708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.23 : 1,051.89 = 513.86 : x
  2. Step 2: Convert to fraction form
    763.23/1,051.89 = 513.86/x
  3. Step 3: Cross multiply
    763.23x = 1,051.89 × 513.86
  4. Step 4: Simplify right side
    763.23x = 540,518.94
  5. Step 5: Solve for x
    x = 540,518.94/763.23
  6. Step 6: Final answer
    x = 708.20

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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.