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Finding the Fourth Proportional to 595.92, 894.96 and 487.92

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Solution

The fourth proportional to 595.92, 894.96 and 487.92 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 894.96 = 487.92 : x
  2. Step 2: Convert to fraction form
    595.92/894.96 = 487.92/x
  3. Step 3: Cross multiply
    595.92x = 894.96 × 487.92
  4. Step 4: Simplify right side
    595.92x = 436,668.88
  5. Step 5: Solve for x
    x = 436,668.88/595.92
  6. Step 6: Final answer
    x = 732.76

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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.