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Finding the Fourth Proportional to 923.64, 1,274.54 and 525.31

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Solution

The fourth proportional to 923.64, 1,274.54 and 525.31 is: 724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,274.54 = 525.31 : x
  2. Step 2: Convert to fraction form
    923.64/1,274.54 = 525.31/x
  3. Step 3: Cross multiply
    923.64x = 1,274.54 × 525.31
  4. Step 4: Simplify right side
    923.64x = 669,528.61
  5. Step 5: Solve for x
    x = 669,528.61/923.64
  6. Step 6: Final answer
    x = 724.88

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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.