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Finding the Fourth Proportional to 769.86, 1,061.37 and 573.03

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Solution

The fourth proportional to 769.86, 1,061.37 and 573.03 is: 790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,061.37 = 573.03 : x
  2. Step 2: Convert to fraction form
    769.86/1,061.37 = 573.03/x
  3. Step 3: Cross multiply
    769.86x = 1,061.37 × 573.03
  4. Step 4: Simplify right side
    769.86x = 608,196.85
  5. Step 5: Solve for x
    x = 608,196.85/769.86
  6. Step 6: Final answer
    x = 790.01

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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.