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Finding the Fourth Proportional to 1,229.01, 1,842.80 and 407.06

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Solution

The fourth proportional to 1,229.01, 1,842.80 and 407.06 is: 610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.01 : 1,842.80 = 407.06 : x
  2. Step 2: Convert to fraction form
    1,229.01/1,842.80 = 407.06/x
  3. Step 3: Cross multiply
    1,229.01x = 1,842.80 × 407.06
  4. Step 4: Simplify right side
    1,229.01x = 750,128.12
  5. Step 5: Solve for x
    x = 750,128.12/1,229.01
  6. Step 6: Final answer
    x = 610.35

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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.