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Finding the Fourth Proportional to 923.48, 1,274.67 and 592.79

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Solution

The fourth proportional to 923.48, 1,274.67 and 592.79 is: 818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.48 : 1,274.67 = 592.79 : x
  2. Step 2: Convert to fraction form
    923.48/1,274.67 = 592.79/x
  3. Step 3: Cross multiply
    923.48x = 1,274.67 × 592.79
  4. Step 4: Simplify right side
    923.48x = 755,611.63
  5. Step 5: Solve for x
    x = 755,611.63/923.48
  6. Step 6: Final answer
    x = 818.22

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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.