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Finding the Fourth Proportional to 1,242.64, 1,864.27 and 420.92

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Solution

The fourth proportional to 1,242.64, 1,864.27 and 420.92 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.64 : 1,864.27 = 420.92 : x
  2. Step 2: Convert to fraction form
    1,242.64/1,864.27 = 420.92/x
  3. Step 3: Cross multiply
    1,242.64x = 1,864.27 × 420.92
  4. Step 4: Simplify right side
    1,242.64x = 784,709.60
  5. Step 5: Solve for x
    x = 784,709.60/1,242.64
  6. Step 6: Final answer
    x = 631.49

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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.