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Finding the Fourth Proportional to 615.87, 850.10 and 595.35

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Solution

The fourth proportional to 615.87, 850.10 and 595.35 is: 821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 850.10 = 595.35 : x
  2. Step 2: Convert to fraction form
    615.87/850.10 = 595.35/x
  3. Step 3: Cross multiply
    615.87x = 850.10 × 595.35
  4. Step 4: Simplify right side
    615.87x = 506,104.06
  5. Step 5: Solve for x
    x = 506,104.06/615.87
  6. Step 6: Final answer
    x = 821.77

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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.