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Finding the Fourth Proportional to 901.42, 1,243.89 and 523.04

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Solution

The fourth proportional to 901.42, 1,243.89 and 523.04 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.42 : 1,243.89 = 523.04 : x
  2. Step 2: Convert to fraction form
    901.42/1,243.89 = 523.04/x
  3. Step 3: Cross multiply
    901.42x = 1,243.89 × 523.04
  4. Step 4: Simplify right side
    901.42x = 650,598.01
  5. Step 5: Solve for x
    x = 650,598.01/901.42
  6. Step 6: Final answer
    x = 721.75

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1.5x scale

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.