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Finding the Fourth Proportional to 712.93, 1,071.09 and 466.34

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Solution

The fourth proportional to 712.93, 1,071.09 and 466.34 is: 700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.93 : 1,071.09 = 466.34 : x
  2. Step 2: Convert to fraction form
    712.93/1,071.09 = 466.34/x
  3. Step 3: Cross multiply
    712.93x = 1,071.09 × 466.34
  4. Step 4: Simplify right side
    712.93x = 499,486.76
  5. Step 5: Solve for x
    x = 499,486.76/712.93
  6. Step 6: Final answer
    x = 700.62

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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.