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Finding the Fourth Proportional to 716.84, 1,074.94 and 409.16

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Solution

The fourth proportional to 716.84, 1,074.94 and 409.16 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,074.94 = 409.16 : x
  2. Step 2: Convert to fraction form
    716.84/1,074.94 = 409.16/x
  3. Step 3: Cross multiply
    716.84x = 1,074.94 × 409.16
  4. Step 4: Simplify right side
    716.84x = 439,822.45
  5. Step 5: Solve for x
    x = 439,822.45/716.84
  6. Step 6: Final answer
    x = 613.56

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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.