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Finding the Fourth Proportional to 716.84, 1,074.55 and 346.55

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Solution

The fourth proportional to 716.84, 1,074.55 and 346.55 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,074.55 = 346.55 : x
  2. Step 2: Convert to fraction form
    716.84/1,074.55 = 346.55/x
  3. Step 3: Cross multiply
    716.84x = 1,074.55 × 346.55
  4. Step 4: Simplify right side
    716.84x = 372,385.30
  5. Step 5: Solve for x
    x = 372,385.30/716.84
  6. Step 6: Final answer
    x = 519.48

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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.