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Finding the Fourth Proportional to 714.09, 1,071.29 and 406.09

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Solution

The fourth proportional to 714.09, 1,071.29 and 406.09 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 1,071.29 = 406.09 : x
  2. Step 2: Convert to fraction form
    714.09/1,071.29 = 406.09/x
  3. Step 3: Cross multiply
    714.09x = 1,071.29 × 406.09
  4. Step 4: Simplify right side
    714.09x = 435,038.49
  5. Step 5: Solve for x
    x = 435,038.49/714.09
  6. Step 6: Final answer
    x = 609.22

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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.