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Finding the Fourth Proportional to 776.56, 1,071.96 and 515.34

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Solution

The fourth proportional to 776.56, 1,071.96 and 515.34 is: 711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.56 : 1,071.96 = 515.34 : x
  2. Step 2: Convert to fraction form
    776.56/1,071.96 = 515.34/x
  3. Step 3: Cross multiply
    776.56x = 1,071.96 × 515.34
  4. Step 4: Simplify right side
    776.56x = 552,423.87
  5. Step 5: Solve for x
    x = 552,423.87/776.56
  6. Step 6: Final answer
    x = 711.37

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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.