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Finding the Fourth Proportional to 706.09, 1,058.11 and 501.06

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Solution

The fourth proportional to 706.09, 1,058.11 and 501.06 is: 750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.09 : 1,058.11 = 501.06 : x
  2. Step 2: Convert to fraction form
    706.09/1,058.11 = 501.06/x
  3. Step 3: Cross multiply
    706.09x = 1,058.11 × 501.06
  4. Step 4: Simplify right side
    706.09x = 530,178.16
  5. Step 5: Solve for x
    x = 530,178.16/706.09
  6. Step 6: Final answer
    x = 750.86

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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.