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Finding the Fourth Proportional to 892.14, 1,337.61 and 430.02

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Solution

The fourth proportional to 892.14, 1,337.61 and 430.02 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,337.61 = 430.02 : x
  2. Step 2: Convert to fraction form
    892.14/1,337.61 = 430.02/x
  3. Step 3: Cross multiply
    892.14x = 1,337.61 × 430.02
  4. Step 4: Simplify right side
    892.14x = 575,199.05
  5. Step 5: Solve for x
    x = 575,199.05/892.14
  6. Step 6: Final answer
    x = 644.74

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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.