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Finding the Fourth Proportional to 716.29, 1,073.35 and 459.25

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Solution

The fourth proportional to 716.29, 1,073.35 and 459.25 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 1,073.35 = 459.25 : x
  2. Step 2: Convert to fraction form
    716.29/1,073.35 = 459.25/x
  3. Step 3: Cross multiply
    716.29x = 1,073.35 × 459.25
  4. Step 4: Simplify right side
    716.29x = 492,935.99
  5. Step 5: Solve for x
    x = 492,935.99/716.29
  6. Step 6: Final answer
    x = 688.18

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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.