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Finding the Fourth Proportional to 706.63, 1,058.74 and 500.19

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Solution

The fourth proportional to 706.63, 1,058.74 and 500.19 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.63 : 1,058.74 = 500.19 : x
  2. Step 2: Convert to fraction form
    706.63/1,058.74 = 500.19/x
  3. Step 3: Cross multiply
    706.63x = 1,058.74 × 500.19
  4. Step 4: Simplify right side
    706.63x = 529,571.16
  5. Step 5: Solve for x
    x = 529,571.16/706.63
  6. Step 6: Final answer
    x = 749.43

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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.