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Finding the Fourth Proportional to 504.42, 756.87 and 487.86

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Solution

The fourth proportional to 504.42, 756.87 and 487.86 is: 732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.42 : 756.87 = 487.86 : x
  2. Step 2: Convert to fraction form
    504.42/756.87 = 487.86/x
  3. Step 3: Cross multiply
    504.42x = 756.87 × 487.86
  4. Step 4: Simplify right side
    504.42x = 369,246.60
  5. Step 5: Solve for x
    x = 369,246.60/504.42
  6. Step 6: Final answer
    x = 732.02

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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.