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Finding the Fourth Proportional to 923.94, 1,385.98 and 665.14

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Solution

The fourth proportional to 923.94, 1,385.98 and 665.14 is: 997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,385.98 = 665.14 : x
  2. Step 2: Convert to fraction form
    923.94/1,385.98 = 665.14/x
  3. Step 3: Cross multiply
    923.94x = 1,385.98 × 665.14
  4. Step 4: Simplify right side
    923.94x = 921,875.87
  5. Step 5: Solve for x
    x = 921,875.87/923.94
  6. Step 6: Final answer
    x = 997.77

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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.