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Finding the Fourth Proportional to 923.08, 1,274.38 and 592.02

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Solution

The fourth proportional to 923.08, 1,274.38 and 592.02 is: 817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,274.38 = 592.02 : x
  2. Step 2: Convert to fraction form
    923.08/1,274.38 = 592.02/x
  3. Step 3: Cross multiply
    923.08x = 1,274.38 × 592.02
  4. Step 4: Simplify right side
    923.08x = 754,458.45
  5. Step 5: Solve for x
    x = 754,458.45/923.08
  6. Step 6: Final answer
    x = 817.33

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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.