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Finding the Fourth Proportional to 1,071.03, 1,606.64 and 421.61

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Solution

The fourth proportional to 1,071.03, 1,606.64 and 421.61 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.03 : 1,606.64 = 421.61 : x
  2. Step 2: Convert to fraction form
    1,071.03/1,606.64 = 421.61/x
  3. Step 3: Cross multiply
    1,071.03x = 1,606.64 × 421.61
  4. Step 4: Simplify right side
    1,071.03x = 677,375.49
  5. Step 5: Solve for x
    x = 677,375.49/1,071.03
  6. Step 6: Final answer
    x = 632.45

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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.