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Finding the Fourth Proportional to 923.84, 1,385.82 and 437.36

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Solution

The fourth proportional to 923.84, 1,385.82 and 437.36 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.84 : 1,385.82 = 437.36 : x
  2. Step 2: Convert to fraction form
    923.84/1,385.82 = 437.36/x
  3. Step 3: Cross multiply
    923.84x = 1,385.82 × 437.36
  4. Step 4: Simplify right side
    923.84x = 606,102.24
  5. Step 5: Solve for x
    x = 606,102.24/923.84
  6. Step 6: Final answer
    x = 656.07

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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.