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Finding the Fourth Proportional to 714.15, 1,071.26 and 406.22

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Solution

The fourth proportional to 714.15, 1,071.26 and 406.22 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 1,071.26 = 406.22 : x
  2. Step 2: Convert to fraction form
    714.15/1,071.26 = 406.22/x
  3. Step 3: Cross multiply
    714.15x = 1,071.26 × 406.22
  4. Step 4: Simplify right side
    714.15x = 435,167.24
  5. Step 5: Solve for x
    x = 435,167.24/714.15
  6. Step 6: Final answer
    x = 609.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.