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Finding the Fourth Proportional to 706.80, 1,058.96 and 432.24

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Solution

The fourth proportional to 706.80, 1,058.96 and 432.24 is: 647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 1,058.96 = 432.24 : x
  2. Step 2: Convert to fraction form
    706.80/1,058.96 = 432.24/x
  3. Step 3: Cross multiply
    706.80x = 1,058.96 × 432.24
  4. Step 4: Simplify right side
    706.80x = 457,724.87
  5. Step 5: Solve for x
    x = 457,724.87/706.80
  6. Step 6: Final answer
    x = 647.60

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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.