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Finding the Fourth Proportional to 714.39, 1,071.72 and 406.59

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Solution

The fourth proportional to 714.39, 1,071.72 and 406.59 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.39 : 1,071.72 = 406.59 : x
  2. Step 2: Convert to fraction form
    714.39/1,071.72 = 406.59/x
  3. Step 3: Cross multiply
    714.39x = 1,071.72 × 406.59
  4. Step 4: Simplify right side
    714.39x = 435,750.63
  5. Step 5: Solve for x
    x = 435,750.63/714.39
  6. Step 6: Final answer
    x = 609.96

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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.