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Finding the Fourth Proportional to 763.13, 1,051.89 and 514.37

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Solution

The fourth proportional to 763.13, 1,051.89 and 514.37 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.13 : 1,051.89 = 514.37 : x
  2. Step 2: Convert to fraction form
    763.13/1,051.89 = 514.37/x
  3. Step 3: Cross multiply
    763.13x = 1,051.89 × 514.37
  4. Step 4: Simplify right side
    763.13x = 541,060.66
  5. Step 5: Solve for x
    x = 541,060.66/763.13
  6. Step 6: Final answer
    x = 709.00

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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.