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Finding the Fourth Proportional to 716.18, 1,074.27 and 459.50

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Solution

The fourth proportional to 716.18, 1,074.27 and 459.50 is: 689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.18 : 1,074.27 = 459.50 : x
  2. Step 2: Convert to fraction form
    716.18/1,074.27 = 459.50/x
  3. Step 3: Cross multiply
    716.18x = 1,074.27 × 459.50
  4. Step 4: Simplify right side
    716.18x = 493,627.07
  5. Step 5: Solve for x
    x = 493,627.07/716.18
  6. Step 6: Final answer
    x = 689.25

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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.