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Finding the Fourth Proportional to 763.68, 1,054.20 and 515.88

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Solution

The fourth proportional to 763.68, 1,054.20 and 515.88 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,054.20 = 515.88 : x
  2. Step 2: Convert to fraction form
    763.68/1,054.20 = 515.88/x
  3. Step 3: Cross multiply
    763.68x = 1,054.20 × 515.88
  4. Step 4: Simplify right side
    763.68x = 543,840.70
  5. Step 5: Solve for x
    x = 543,840.70/763.68
  6. Step 6: Final answer
    x = 712.13

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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.