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Finding the Fourth Proportional to 715.64, 985.67 and 617.22

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Solution

The fourth proportional to 715.64, 985.67 and 617.22 is: 850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 985.67 = 617.22 : x
  2. Step 2: Convert to fraction form
    715.64/985.67 = 617.22/x
  3. Step 3: Cross multiply
    715.64x = 985.67 × 617.22
  4. Step 4: Simplify right side
    715.64x = 608,374.47
  5. Step 5: Solve for x
    x = 608,374.47/715.64
  6. Step 6: Final answer
    x = 850.12

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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.