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Finding the Fourth Proportional to 972.72, 1,459.16 and 827.50

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Solution

The fourth proportional to 972.72, 1,459.16 and 827.50 is: 1,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.72 : 1,459.16 = 827.50 : x
  2. Step 2: Convert to fraction form
    972.72/1,459.16 = 827.50/x
  3. Step 3: Cross multiply
    972.72x = 1,459.16 × 827.50
  4. Step 4: Simplify right side
    972.72x = 1,207,454.90
  5. Step 5: Solve for x
    x = 1,207,454.90/972.72
  6. Step 6: Final answer
    x = 1,241.32

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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.