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Finding the Fourth Proportional to 967.91, 1,452.40 and 529.15

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Solution

The fourth proportional to 967.91, 1,452.40 and 529.15 is: 794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.91 : 1,452.40 = 529.15 : x
  2. Step 2: Convert to fraction form
    967.91/1,452.40 = 529.15/x
  3. Step 3: Cross multiply
    967.91x = 1,452.40 × 529.15
  4. Step 4: Simplify right side
    967.91x = 768,534.49
  5. Step 5: Solve for x
    x = 768,534.49/967.91
  6. Step 6: Final answer
    x = 794.01

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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.