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Finding the Fourth Proportional to 776.16, 1,071.72 and 514.44

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Solution

The fourth proportional to 776.16, 1,071.72 and 514.44 is: 710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,071.72 = 514.44 : x
  2. Step 2: Convert to fraction form
    776.16/1,071.72 = 514.44/x
  3. Step 3: Cross multiply
    776.16x = 1,071.72 × 514.44
  4. Step 4: Simplify right side
    776.16x = 551,335.64
  5. Step 5: Solve for x
    x = 551,335.64/776.16
  6. Step 6: Final answer
    x = 710.34

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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.