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Finding the Fourth Proportional to 715.34, 1,072.05 and 407.07

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Solution

The fourth proportional to 715.34, 1,072.05 and 407.07 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.34 : 1,072.05 = 407.07 : x
  2. Step 2: Convert to fraction form
    715.34/1,072.05 = 407.07/x
  3. Step 3: Cross multiply
    715.34x = 1,072.05 × 407.07
  4. Step 4: Simplify right side
    715.34x = 436,399.39
  5. Step 5: Solve for x
    x = 436,399.39/715.34
  6. Step 6: Final answer
    x = 610.06

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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.