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Finding the Fourth Proportional to 923.92, 1,275.15 and 592.33

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Solution

The fourth proportional to 923.92, 1,275.15 and 592.33 is: 817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.92 : 1,275.15 = 592.33 : x
  2. Step 2: Convert to fraction form
    923.92/1,275.15 = 592.33/x
  3. Step 3: Cross multiply
    923.92x = 1,275.15 × 592.33
  4. Step 4: Simplify right side
    923.92x = 755,309.60
  5. Step 5: Solve for x
    x = 755,309.60/923.92
  6. Step 6: Final answer
    x = 817.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.