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Finding the Fourth Proportional to 967.76, 1,451.42 and 473.96

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Solution

The fourth proportional to 967.76, 1,451.42 and 473.96 is: 710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.76 : 1,451.42 = 473.96 : x
  2. Step 2: Convert to fraction form
    967.76/1,451.42 = 473.96/x
  3. Step 3: Cross multiply
    967.76x = 1,451.42 × 473.96
  4. Step 4: Simplify right side
    967.76x = 687,916.28
  5. Step 5: Solve for x
    x = 687,916.28/967.76
  6. Step 6: Final answer
    x = 710.84

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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.