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Finding the Fourth Proportional to 923.04, 1,273.68 and 591.54

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Solution

The fourth proportional to 923.04, 1,273.68 and 591.54 is: 816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.04 : 1,273.68 = 591.54 : x
  2. Step 2: Convert to fraction form
    923.04/1,273.68 = 591.54/x
  3. Step 3: Cross multiply
    923.04x = 1,273.68 × 591.54
  4. Step 4: Simplify right side
    923.04x = 753,432.67
  5. Step 5: Solve for x
    x = 753,432.67/923.04
  6. Step 6: Final answer
    x = 816.25

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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.