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Finding the Fourth Proportional to 763.35, 1,053.06 and 514.57

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Solution

The fourth proportional to 763.35, 1,053.06 and 514.57 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.35 : 1,053.06 = 514.57 : x
  2. Step 2: Convert to fraction form
    763.35/1,053.06 = 514.57/x
  3. Step 3: Cross multiply
    763.35x = 1,053.06 × 514.57
  4. Step 4: Simplify right side
    763.35x = 541,873.08
  5. Step 5: Solve for x
    x = 541,873.08/763.35
  6. Step 6: Final answer
    x = 709.86

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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.