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Finding the Fourth Proportional to 776.34, 1,071.20 and 514.22

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Solution

The fourth proportional to 776.34, 1,071.20 and 514.22 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.34 : 1,071.20 = 514.22 : x
  2. Step 2: Convert to fraction form
    776.34/1,071.20 = 514.22/x
  3. Step 3: Cross multiply
    776.34x = 1,071.20 × 514.22
  4. Step 4: Simplify right side
    776.34x = 550,832.46
  5. Step 5: Solve for x
    x = 550,832.46/776.34
  6. Step 6: Final answer
    x = 709.52

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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.