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Finding the Fourth Proportional to 1,242.96, 1,864.34 and 421.19

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Solution

The fourth proportional to 1,242.96, 1,864.34 and 421.19 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.96 : 1,864.34 = 421.19 : x
  2. Step 2: Convert to fraction form
    1,242.96/1,864.34 = 421.19/x
  3. Step 3: Cross multiply
    1,242.96x = 1,864.34 × 421.19
  4. Step 4: Simplify right side
    1,242.96x = 785,229.94
  5. Step 5: Solve for x
    x = 785,229.94/1,242.96
  6. Step 6: Final answer
    x = 631.74

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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.