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Finding the Fourth Proportional to 923.97, 1,385.13 and 436.77

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Solution

The fourth proportional to 923.97, 1,385.13 and 436.77 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.97 : 1,385.13 = 436.77 : x
  2. Step 2: Convert to fraction form
    923.97/1,385.13 = 436.77/x
  3. Step 3: Cross multiply
    923.97x = 1,385.13 × 436.77
  4. Step 4: Simplify right side
    923.97x = 604,983.23
  5. Step 5: Solve for x
    x = 604,983.23/923.97
  6. Step 6: Final answer
    x = 654.77

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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.