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Finding the Fourth Proportional to 1,243.01, 1,864.08 and 421.04

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Solution

The fourth proportional to 1,243.01, 1,864.08 and 421.04 is: 631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.01 : 1,864.08 = 421.04 : x
  2. Step 2: Convert to fraction form
    1,243.01/1,864.08 = 421.04/x
  3. Step 3: Cross multiply
    1,243.01x = 1,864.08 × 421.04
  4. Step 4: Simplify right side
    1,243.01x = 784,852.24
  5. Step 5: Solve for x
    x = 784,852.24/1,243.01
  6. Step 6: Final answer
    x = 631.41

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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.