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Finding the Fourth Proportional to 716.66, 1,074.30 and 456.98

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Solution

The fourth proportional to 716.66, 1,074.30 and 456.98 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.66 : 1,074.30 = 456.98 : x
  2. Step 2: Convert to fraction form
    716.66/1,074.30 = 456.98/x
  3. Step 3: Cross multiply
    716.66x = 1,074.30 × 456.98
  4. Step 4: Simplify right side
    716.66x = 490,933.61
  5. Step 5: Solve for x
    x = 490,933.61/716.66
  6. Step 6: Final answer
    x = 685.03

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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.