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Finding the Fourth Proportional to 923.65, 1,383.56 and 460.03

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Solution

The fourth proportional to 923.65, 1,383.56 and 460.03 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.65 : 1,383.56 = 460.03 : x
  2. Step 2: Convert to fraction form
    923.65/1,383.56 = 460.03/x
  3. Step 3: Cross multiply
    923.65x = 1,383.56 × 460.03
  4. Step 4: Simplify right side
    923.65x = 636,479.11
  5. Step 5: Solve for x
    x = 636,479.11/923.65
  6. Step 6: Final answer
    x = 689.09

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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.