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Finding the Fourth Proportional to 956.04, 1,432.40 and 523.48

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Solution

The fourth proportional to 956.04, 1,432.40 and 523.48 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.04 : 1,432.40 = 523.48 : x
  2. Step 2: Convert to fraction form
    956.04/1,432.40 = 523.48/x
  3. Step 3: Cross multiply
    956.04x = 1,432.40 × 523.48
  4. Step 4: Simplify right side
    956.04x = 749,832.75
  5. Step 5: Solve for x
    x = 749,832.75/956.04
  6. Step 6: Final answer
    x = 784.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.