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Finding the Fourth Proportional to 615.83, 921.69 and 513.32

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Solution

The fourth proportional to 615.83, 921.69 and 513.32 is: 768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 921.69 = 513.32 : x
  2. Step 2: Convert to fraction form
    615.83/921.69 = 513.32/x
  3. Step 3: Cross multiply
    615.83x = 921.69 × 513.32
  4. Step 4: Simplify right side
    615.83x = 473,117.30
  5. Step 5: Solve for x
    x = 473,117.30/615.83
  6. Step 6: Final answer
    x = 768.27

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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.