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Finding the Fourth Proportional to 706.45, 1,058.05 and 511.69

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Solution

The fourth proportional to 706.45, 1,058.05 and 511.69 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.45 : 1,058.05 = 511.69 : x
  2. Step 2: Convert to fraction form
    706.45/1,058.05 = 511.69/x
  3. Step 3: Cross multiply
    706.45x = 1,058.05 × 511.69
  4. Step 4: Simplify right side
    706.45x = 541,393.60
  5. Step 5: Solve for x
    x = 541,393.60/706.45
  6. Step 6: Final answer
    x = 766.36

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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.