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Finding the Fourth Proportional to 846.72, 1,271.32 and 523.44

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Solution

The fourth proportional to 846.72, 1,271.32 and 523.44 is: 785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.72 : 1,271.32 = 523.44 : x
  2. Step 2: Convert to fraction form
    846.72/1,271.32 = 523.44/x
  3. Step 3: Cross multiply
    846.72x = 1,271.32 × 523.44
  4. Step 4: Simplify right side
    846.72x = 665,459.74
  5. Step 5: Solve for x
    x = 665,459.74/846.72
  6. Step 6: Final answer
    x = 785.93

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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.