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Finding the Fourth Proportional to 615.49, 920.72 and 512.91

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Solution

The fourth proportional to 615.49, 920.72 and 512.91 is: 767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 920.72 = 512.91 : x
  2. Step 2: Convert to fraction form
    615.49/920.72 = 512.91/x
  3. Step 3: Cross multiply
    615.49x = 920.72 × 512.91
  4. Step 4: Simplify right side
    615.49x = 472,246.50
  5. Step 5: Solve for x
    x = 472,246.50/615.49
  6. Step 6: Final answer
    x = 767.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.