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Finding the Fourth Proportional to 967.96, 1,452.42 and 390.84

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Solution

The fourth proportional to 967.96, 1,452.42 and 390.84 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.96 : 1,452.42 = 390.84 : x
  2. Step 2: Convert to fraction form
    967.96/1,452.42 = 390.84/x
  3. Step 3: Cross multiply
    967.96x = 1,452.42 × 390.84
  4. Step 4: Simplify right side
    967.96x = 567,663.83
  5. Step 5: Solve for x
    x = 567,663.83/967.96
  6. Step 6: Final answer
    x = 586.45

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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.