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Finding the Fourth Proportional to 923.55, 1,383.47 and 459.93

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Solution

The fourth proportional to 923.55, 1,383.47 and 459.93 is: 688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.55 : 1,383.47 = 459.93 : x
  2. Step 2: Convert to fraction form
    923.55/1,383.47 = 459.93/x
  3. Step 3: Cross multiply
    923.55x = 1,383.47 × 459.93
  4. Step 4: Simplify right side
    923.55x = 636,299.36
  5. Step 5: Solve for x
    x = 636,299.36/923.55
  6. Step 6: Final answer
    x = 688.97

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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.