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Finding the Fourth Proportional to 524.52, 789.91 and 456.86

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Solution

The fourth proportional to 524.52, 789.91 and 456.86 is: 688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 789.91 = 456.86 : x
  2. Step 2: Convert to fraction form
    524.52/789.91 = 456.86/x
  3. Step 3: Cross multiply
    524.52x = 789.91 × 456.86
  4. Step 4: Simplify right side
    524.52x = 360,877.48
  5. Step 5: Solve for x
    x = 360,877.48/524.52
  6. Step 6: Final answer
    x = 688.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.