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Finding the Fourth Proportional to 665.69, 997.52 and 592.38

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Solution

The fourth proportional to 665.69, 997.52 and 592.38 is: 887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.69 : 997.52 = 592.38 : x
  2. Step 2: Convert to fraction form
    665.69/997.52 = 592.38/x
  3. Step 3: Cross multiply
    665.69x = 997.52 × 592.38
  4. Step 4: Simplify right side
    665.69x = 590,907.94
  5. Step 5: Solve for x
    x = 590,907.94/665.69
  6. Step 6: Final answer
    x = 887.67

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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.