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Finding the Fourth Proportional to 716.70, 985.59 and 598.62

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Solution

The fourth proportional to 716.70, 985.59 and 598.62 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.70 : 985.59 = 598.62 : x
  2. Step 2: Convert to fraction form
    716.70/985.59 = 598.62/x
  3. Step 3: Cross multiply
    716.70x = 985.59 × 598.62
  4. Step 4: Simplify right side
    716.70x = 589,993.89
  5. Step 5: Solve for x
    x = 589,993.89/716.70
  6. Step 6: Final answer
    x = 823.21

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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.