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Finding the Fourth Proportional to 706.52, 1,058.42 and 534.30

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Solution

The fourth proportional to 706.52, 1,058.42 and 534.30 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 1,058.42 = 534.30 : x
  2. Step 2: Convert to fraction form
    706.52/1,058.42 = 534.30/x
  3. Step 3: Cross multiply
    706.52x = 1,058.42 × 534.30
  4. Step 4: Simplify right side
    706.52x = 565,513.81
  5. Step 5: Solve for x
    x = 565,513.81/706.52
  6. Step 6: Final answer
    x = 800.42

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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.