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Finding the Fourth Proportional to 921.84, 1,383.16 and 434.56

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Solution

The fourth proportional to 921.84, 1,383.16 and 434.56 is: 652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.84 : 1,383.16 = 434.56 : x
  2. Step 2: Convert to fraction form
    921.84/1,383.16 = 434.56/x
  3. Step 3: Cross multiply
    921.84x = 1,383.16 × 434.56
  4. Step 4: Simplify right side
    921.84x = 601,066.01
  5. Step 5: Solve for x
    x = 601,066.01/921.84
  6. Step 6: Final answer
    x = 652.03

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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.