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Finding the Fourth Proportional to 716.45, 1,074.80 and 283.64

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Solution

The fourth proportional to 716.45, 1,074.80 and 283.64 is: 425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.45 : 1,074.80 = 283.64 : x
  2. Step 2: Convert to fraction form
    716.45/1,074.80 = 283.64/x
  3. Step 3: Cross multiply
    716.45x = 1,074.80 × 283.64
  4. Step 4: Simplify right side
    716.45x = 304,851.61
  5. Step 5: Solve for x
    x = 304,851.61/716.45
  6. Step 6: Final answer
    x = 425.51

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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.