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Finding the Fourth Proportional to 665.46, 996.26 and 595.11

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Solution

The fourth proportional to 665.46, 996.26 and 595.11 is: 890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.46 : 996.26 = 595.11 : x
  2. Step 2: Convert to fraction form
    665.46/996.26 = 595.11/x
  3. Step 3: Cross multiply
    665.46x = 996.26 × 595.11
  4. Step 4: Simplify right side
    665.46x = 592,881.31
  5. Step 5: Solve for x
    x = 592,881.31/665.46
  6. Step 6: Final answer
    x = 890.93

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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.