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Finding the Fourth Proportional to 923.35, 1,274.16 and 524.98

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Solution

The fourth proportional to 923.35, 1,274.16 and 524.98 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.35 : 1,274.16 = 524.98 : x
  2. Step 2: Convert to fraction form
    923.35/1,274.16 = 524.98/x
  3. Step 3: Cross multiply
    923.35x = 1,274.16 × 524.98
  4. Step 4: Simplify right side
    923.35x = 668,908.52
  5. Step 5: Solve for x
    x = 668,908.52/923.35
  6. Step 6: Final answer
    x = 724.44

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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.