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Finding the Fourth Proportional to 766.13, 1,056.03 and 517.02

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Solution

The fourth proportional to 766.13, 1,056.03 and 517.02 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,056.03 = 517.02 : x
  2. Step 2: Convert to fraction form
    766.13/1,056.03 = 517.02/x
  3. Step 3: Cross multiply
    766.13x = 1,056.03 × 517.02
  4. Step 4: Simplify right side
    766.13x = 545,988.63
  5. Step 5: Solve for x
    x = 545,988.63/766.13
  6. Step 6: Final answer
    x = 712.66

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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.